Software
- Coset enumeration: ACE version 3.001 (29 Mar 01, limited
to at most about 2×109 cosets)
Colin Ramsay's source code + some test scripts [gzipped tar file, 106KB]
Colin Ramsay's 2001 version of a draft manual for ACE 3.001
265K pdf
This version of ACE is accessible via both the Magma
Computational Algebra System and GAP - Groups, Algorithms,
Programming - a System for Computational Discrete Algebra.
- Coset enumeration: ACE version 4.1 (total cosets limited
only by available memory)
Colin Ramsay's source code + some test scripts [gzipped tar file, 384KB]
Colin Ramsay's 2009 version of a draft manual for ACE 4
306K pdf
- Proof Extraction After Coset Enumeration: PEACE version
1
Colin Ramsay's source code + some test scripts [gzipped tar file, 85K]
- Perfect hashing [gzipped tar
file, 17K]
(P)reprints
This includes links to (p)reprint versions in pdf of some
published and submitted papers.
- Lattices with sublattices of a given order
George Havas and Martin Ward
J. Combinatorial Theory 7 (1969) 281-282. [ Open
Access]
- Implementation and analysis of the Todd-Coxeter
algorithm
John J. Cannon, Lucien A. Dimino, George Havas and Jane M.
Watson
Math. Comp. 27 (1973) 463-490 [ Free
Access]
- A Reidemeister-Schreier program
Proceedings of the Second International Conference on the
Theory of Groups, Lecture Notes in Math. 372 (1974)
347-356. [Reprint: 478K]
- The two generator restricted Burnside group of exponent
five
George Havas, G.E. Wall and J.W. Wamsley
Bull. Austral. Math. Soc. 10 (1974), 459-470. [ Free
Access]
- Defining relations for the Held-Higman-Thompson simple
group
John J. Cannon and George Havas
Bull. Austral. Math. Soc. 11 (1974) 43-46. [ Free
Access]
- Computational approaches to combinatorial group
theory
PhD Thesis, The University of Sydney (1974) 237 pages.
[Scanned: 7MB]
Abstract: Bull. Austral. Math. Soc. 11 (1974) 475-476. [
Free
Access]
- Computer aided determination of a Fibonacci group
Bull. Austral. Math. Soc. 15 (1976) 297-305. [ Free
Access]
- Some complexity problems in algebraic computations
Proceedings The Complexity of Computational Problem
Solving, University of Queensland Press (1976) 184-192.
[Scanned: 203K]
- Collection
George Havas and Tim Nicholson
Proceedings SYMSAC '76, ACM Symposium on Symbolic and
Algebraic Computation, ACM (1976) 9-14. [Reprint: 541K]
- A computer aided classification of certain groups of
prime power order
Judith A. Ascione, George Havas and C.R.
Leedham-Green
Bulletin of the Australian Mathematical Society 17 (1977)
257-274; Corrigendum: ibid. 317-319; Microfiche supplement:
ibid. 320 [ Free
Access | Corrigendum: Free
Access | Corrections: 88K]
- Integer matrices and abelian groups
George Havas and Leon S. Sterling
Symbolic and algebraic computation, Lecture Notes in
Computer Science 72 (1979) 431-451
[Reprint: 1158K]
- The last of the Fibonacci groups
George Havas, J.S. Richardson and Leon S. Sterling
Proc. Roy. Soc. Edinburgh 83A (1979) 199-203. [Reprint:
232K]
- Groups of exponent eight
Fritz J. Grunewald, George Havas, J.L. Mennicke and M.F.
Newman
Bull. Austral. Math. Soc. 20 (1979) 7-16. [ Free
Access]
- Groups of exponent eight
Fritz J. Grunewald, George Havas, J.L. Mennicke and M.F.
Newman
Burnside groups, Lecture Notes in Math. 806 (1980) 49-188.
[Reprint: 3555K]
- Application of computers to questions like those of
Burnside
George Havas and M.F. Newman
Burnside groups, Lecture Notes in Math. 806 (1980) 211-230.
[Reprint: 838K]
- Commutators in groups expressed as products of
powers
Comm. Algebra 9 (1981) 115-129. [Reprint: 396K]
- HYPERdisk, an access method for remote disk devices
Australian Computer Journal 13 (1981) 64-65. [Scanned:
91K]
- Groups in Durham
CSIRONET News 167 (1982) 19-20, (Reprinted in Newsletter of
the London Mathematical Society 96 (1983)). [Scanned:
722K]
- Minimal presentations for finite groups of prime-power
order
George Havas and M.F. Newman
Comm. Algebra 11 (1983), no. 20, 2267-2275. [Reprint:
199K]
- Groups of exponent five and class four
George Havas and J.S. Richardson
Comm. Algebra 11 (1983) 287-304. [Reprint: 419K]
- Two groups which act on cubic graphs
George Havas and Edmund F. Robertson
Computational group theory, Academic Press (1984) 65-68.
[Scanned: 218K]
- A Tietze transformation program
George Havas, P.E. Kenne, J.S. Richardson and E.F.
Robertson
Computational group theory, Academic Press (1984) 69-73.
[Scanned: 314K]
- Distinguishing eleven crossing knots
George Havas and L.G. Kovacs
Computational group theory, Academic Press (1984) 367-373.
[Scanned: 276K]
- Local Computer Network Systems at CSIRO [In
Japanese]
G. Havas and Takeyoshi Tsukomoto
FUJITSU 35 (1984) 107-115. [Scanned: 244K]
- A nilpotent quotient algorithm for graded Lie rings
George Havas, M. F. Newman and M. R. Vaughan-Lee
Journal of Symbolic Computation 9 (1990)
655-664. [Reprint: 835K]
- Coset enumeration strategies
ISSAC'91 (Proc. 1991 International Symposium on
Symbolic and Algebraic Computation), ACM Press (1991)
191-199. [Reprint: 1076K]
- An optimal algorithm for generating minimal perfect hash
functions
Zbigniew J. Czech, George Havas and Bohdan S.
Majewski
Information Processing Letters 43 (1992)
257-264. [Reprint: 125K]
- Algorithms for groups
John Cannon and George Havas
Australian Computer Journal 24 (1992) 51-60.
[Reprint: 822K]
- Optimal algorithms for minimal perfect hashing
George Havas and Bohdan S. Majewski
Technical Report 234, The University of Queensland (1992).
[Preprint: 199K]
- Application of substring searching methods to group
presentations
George Havas and Mark Ollila
Australian Computer Science Communications 15
(1993) 587-593. [Preprint: 110K]
- Recognizing badly presented Z-modules
George Havas, Derek F. Holt and Sarah Rees
Linear Algebra and its Applications 192
(1993) 137-164. [Preprint: 181K |
Reprint: 1612K]
- Graph theoretic obstacles to perfect hashing
George Havas and Bohdan S. Majewski
Congressus Numerantium 98 (1993) 81-93.
[Preprint: 157K]
- Graphs, hypergraphs and hashing
George Havas, Bohdan S. Majewski, Nicholas C. Wormald and
Zbigniew J. Czech
Graph-Theoretic Concepts in Computer Science,
Lecture Notes in Computer Science 790 (1994),
153-165. [Reprint: 865K]
- Application of computational tools for finitely presented
groups
George Havas and Edmund F. Robertson
Computational Support for Discrete Mathematics,
DIMACS Series in Discrete Mathematics and Theoretical
Computer Science 15 (1994), 29-39. [Preprint:
129K]
- Hermite normal form computation for integer
matrices
George Havas and Bohdan S. Majewski
Congressus Numerantium 105 (1994) 87-96.
[Preprint: 124K]
- The complexity of greatest common divisor
computations
Bohdan S. Majewski and George Havas
Algorithmic Number Theory, Lecture Notes in Computer
Science 877 (1994) 184-193. [Reprint: 583K]
- A new problem in string searching
George Havas and Jin Xian Lian
Algorithms and Computation, Lecture Notes in
Computer Science 834 (1994) 660-668. [Reprint:
571K]
- Reconstructing a distributed depth-first-search tree
after network topology changes
S.A.M. Makki and George Havas
Proc. Sixth IASTED/ISMM Internat. Conf. Parallel and
Distributed Computing and Systems, Acta Press (1994)
335-337. [Preprint: 65K]
- Extended gcd algorithms
George Havas, B.S. Majewski and K.R. Matthews
Technical Report 302, The University of Queensland (1995).
[Preprint: 160K]
- Groups of deficiency zero
George Havas, M.F. Newman and E.A. O'Brien
Geometric and Computational Perspectives on Infinite
Groups, DIMACS Series in Discrete Mathematics and
Theoretical Computer Science 25 (1996) 53-67.
[Preprint: 145K]
- A solution to the extended gcd problem
Bohdan S. Majewski and George Havas
ISSAC'95 (Proc. 1995 Internat. Sympos. on Symbolic
and Algebraic Computation), ACM Press (1995) 248-253.
[Reprint: 587K]
- Extended gcd calculation
George Havas and Bohdan S. Majewski
Congressus Numerantium 111 (1995) 104-114.
[Preprint: 112K]
- Central factors of deficiency zero groups
George Havas and Edmund F. Robertson
Communications in Algebra 24 (1996)
3483-3487. [Reprint: 179K]
- A hard problem that is almost always easy
George Havas and B.S. Majewski
Algorithms and Computation, Lecture Notes in
Computer Science 1004 (1995) 216-223. [Reprint:
383K]
- A new algorithm and refined bounds for extended gcd
computation
David Ford and George Havas
Algorithmic Number Theory, Lecture Notes in Computer
Science 1122 (1996) 145-150. [Reprint: 234K]
- Empirical analysis of distributed depth-first search
algorithms
S.A.M. Makki and George Havas
Proc. Eighth IASTED Internat. Conf. Parallel and
Distributed Computing and Systems, Acta Press (1996)
292-296. [Preprint: 96K]
- A family of perfect hashing methods
Bohdan S. Majewski, Nicholas C. Wormald, George Havas and
Zbigniew J. Czech
Computer Journal 39 (1996) 547-554.
[Preprint: 176K | Reprint:
4896K]
- Distributed algorithms for depth-first search
S.A.M. Makki and George Havas
Information Processing Letters 60 (1996)
7-12. [Reprint: 353K]
- Integer matrix diagonalization
George Havas and Bohdan S. Majewski
Journal of Symbolic Computation 24 (1997)
399-408. [Reprint: 361K]
- Practical parallel coset enumeration
Gene Cooperman and George Havas
Workshop on High Performance Computing and Gigabit Local
Area Networks, Lecture Notes in Control and Information
Sciences 226 (1997) 15-27. [Reprint: 828K]
- Symmetric presentations and orthogonal groups
C.M. Campbell, George Havas, S.A. Linton and E.F.
Robertson
The Atlas of Finite Groups: Ten Years On, London
Mathematical Society Lecture Note Series 249, Cambridge
University Press (1998) 1-10. [Reprint: 682K]
- Perfect Hashing
Zbigniew J. Czech, George Havas and Bohdan S.
Majewski
Theoretical Computer Science 182 (1997)
1-143. [Reprint: 6283K]
- On the worst-case complexity of integer Gaussian
elimination
Xin Gui Fang and George Havas
ISSAC'97 (Proc. 1997 Internat. Sympos. on Symbolic
and Algebraic Computation), ACM Press (1997) 28-31.
[Reprint: 545K]
- An efficient method for constructing a distributed
depth-first search tree
S.A.M. Makki and George Havas
PDPTA'97 (Proc. Internat. Conf. Parallel and
Distributed Processing Techniques and Applications), CSREA
Press (1997) 660-666. [Preprint: 92K]
- NC Approximation Algorithms for 2-Connectivity
Augmentation in a Graph
Weifa Liang and George Havas
Euro-Par'97 Parallel Processing, Lecture Notes in Computer
Science 1300 (1997) 430-439. [Reprint: 736K]
- Automorphism groups of certain non-quasiprimitive almost
simple graphs
Xin Gui Fang, George Havas and Jie Wang
Groups St Andrews 1997 in Bath, Volume I, London
Mathematical Society Lecture Note Series 260,
Cambridge University Press (1999) 267-274. [Preprint:
123K | Reprint: 775K]
- Finding the k most vital edges with respect to minimum
spanning trees for k = 2 and 3
Weifa Liang and George Havas
Computing Theory '98 (Proc. 4th Australasian Theory
Symposium), Springer Verlag (1998) 37-50. [Preprint:
164K]
- Parallel approximate edge coloring revisited
Weifa Liang, George Havas and Anne Street
Proceedings of PART'97: The 4th Australasian Conference
on Parallel and Real-Time Systems, Springer-Verlag
(1998) 95-103. [Preprint: 135K]
- Extended gcd and Hermite normal form algorithms via
lattice basis reduction
George Havas, Bohdan S. Majewski and Keith R.
Matthews
Experimental Mathematics 7 (1998) 125-136
(Addenda and errata: Experimental Mathematics
8 (1999) 205). [Reprint: 266K | Addenda: 80K] | Corrections: KRM Feb
2017]
- On the automorphism groups of quasiprimitive almost
simple graphs
Xin Gui Fang, George Havas and Cheryl E. Praeger
Journal of Algebra 222 (1999) 271-283. [Reprint:
114K]
- A family of non-quasiprimitive graphs admitting a
quasiprimitive 2-arc transitive group action
Xin Gui Fang, George Havas and Jie Wang
European Journal of Combinatorics 20 (1999) 551-557.
[Reprint: 121K]
- Counting trees
George Havas, Dean G. Hoffman and Colin Ramsay
Research on Combinatorial Algorithms (Proc. Eighth
Australasian Workshop on Combinatorial Algorithms),
Queensland University of Technology (1997) 1-10. [Preprint:
118K]
- Matrix reduction algorithms for Euclidean rings
George Havas and Clemens Wagner
Proc. 1998 Asian Symposium on Computer Mathematics, Lanzhou
University Press (1998) 65-70. [Preprint: 118K]
- A presentation for the Lyons simple group
George Havas and Charles C. Sims
Computational Methods for Representations of Groups and
Algebras, Progress in Mathematics 173 (1999)
241-249, Birkhaeuser. [Reprint: 837K]
- On Sims' presentation for Lyons' simple group
Holger W. Gollan and George Havas
Computational Methods for Representations of Groups and
Algebras, Progress in Mathematics 173 (1999)
235-240, Birkhaeuser. [Reprint: 639K]
- Improved Lightpath (Wavelength) Routing in Large WDM
Networks
Weifa Liang, George Havas and Xiaojun Shen
Proc. 18th International Conference on Distributed
Computing Systems, IEEE Computer Society (1998)
516-523. [Reprint: 210K]
- Functional decomposition of a class of wild
polynomials
Robert Coulter, George Havas and Marie Henderson
Journal of Combinatorial Mathematics and Combinatorial
Computing 28 (1998) 87-94. [Preprint: 100K]
- Permutation Routing in All-Optical Networks
Weifa Liang, George Havas and Xiaojun Shen
Technical Report 436, Department of Computer Science and
Electrical Engineering, The University of Queensland
(1998). [Preprint: 210K]
- Groups with exponent six
George Havas, M.F. Newman, Alice C. Niemeyer and Charles C.
Sims
Communications in Algebra 27 (1999) 3619-3638.
[Reprint: 778K]
- Elementary Algebra Revisited: Randomized Algorithms
Gene Cooperman and George Havas
Randomization Methods in Algorithm Design, DIMACS
Series in Discrete Mathematics and Theoretical Computer
Science 43 (1999) 37-44. [Preprint: 142K]
- The complexity of the extended GCD problem
George Havas and Jean-Pierre Seifert
Mathematical Foundations of Computer Science 1999, Lecture
Notes in Computer Science 1672 (1999) 103-113.
[Reprint: 574K]
- On routing in circulant graphs
Jin-Yi Cai, George Havas, Bernard Mans, Ajay Nerurkar,
Jean-Pierre Seifert and Igor Shparlinski
Computing and Combinatorics, Lecture Notes in
Computer Science 1627 (1999) 360-369. [Reprint:
174K]
- GCD of many integers
Gene Cooperman, Sandra Feisel, Joachim von zur Gathen and
George Havas
Computing and Combinatorics, Lecture Notes in
Computer Science 1627 (1999) 310-317. [Reprint:
119K]
- Computing in groups with exponent six
George Havas, M.F. Newman, Alice C. Niemeyer and Charles C.
Sims
Computational and Geometric Aspects of Modern
Algebra, London Mathematical Society Lecture Note
Series 275, Cambridge University Press (2000)
87-100. [Reprint: 204K]
- Some Performance Studies in Exact Linear Algebra
George Havas and Clemens Wagner
Distributed high performance computing and gigabit wide
area networks, Lecture Notes in Control and Information
Sciences 249 (1999) 161-170. [Reprint: 565K]
- Some challenging group presentations
George Havas, Derek F. Holt, P.E. Kenne and Sarah
Rees
Journal of the Australian Mathematical Society (Series A)
67 (1999) 206-213. [Reprint: 452K]
- Finding a Low-Diameter and Low-Weight k-Connected
Subgraph
Weifa Liang, George Havas and Anne Street
Congressus Numerantium 136 (1999) 161-175.
[Preprint: 145K]
- Experiments in coset enumeration
George Havas and Colin Ramsay
Groups and Computation III, Ohio State University
Mathematical Research Institute Publications 8, de
Gruyter (2001) 183-192. [Preprint: 174K]
- Proving a group trivial made easy: a case study in coset
enumeration
George Havas and Colin Ramsay
Bulletin of the Australian Mathematical Society 62
(2000) 105-118. [Reprint: 732K]
- A presentation for the Thompson sporadic simple
group
George Havas, Leonard H. Soicher and Robert A. Wilson
Groups and Computation III, Ohio State University
Mathematical Research Institute Publications 8, de
Gruyter (2001) 193-200. [Preprint: 124K]
- Certain cyclically presented groups are infinite
George Havas, Derek F. Holt and M.F. Newman
Communications in Algebra 29 (2001) 5175-5178.
[Reprint: 94K]
- Parallel coset enumeration using threads
George Havas and Colin Ramsay
Computer Mathematics, Proceedings of the Fourth Asian
Symposium (ASCM 2000), Lecture Notes Series on Computing
8, World Scientific (2000) 29-38. [Preprint:
119K]
- On the complexity of the extended Euclidean algorithm
(Extended Abstract)
George Havas
Computing: The Australasian Theory Symposium, Adelaide, 4-7
February, 2003, Electronic Notes in Theoretical Computer
Science 78 (2003) 1-4 [Reprint: 94K]
- Efficient simple groups
Colin M. Campbell, George Havas, Alexander Hulpke and
Edmund F. Robertson
Communications in Algebra 31 (2003) 5191-5197.
[Reprint: 315K]
- Breadth-first search and the Andrews-Curtis
conjecture
George Havas and Colin Ramsay
International Journal of Algebra and Computation 13
(2003) 61-68. [Reprint: 158K]
- Andrews-Curtis and Todd-Coxeter proof words
George Havas and Colin Ramsay
Groups St Andrews 2001 in Oxford, Volume I, London
Mathematical Society Lecture Note Series 304,
Cambridge University Press (2003) 232-237. [Preprint:
76K | Reprint: 295K]
- Giesbrecht's algorithm, the HFE cryptosystem and Ore's
ps-polynomials
Robert S. Coulter, George Havas and Marie Henderson
Computer Mathematics, Proceedings of the Fifth Asian
Symposium (ASCM 2001), Lecture Notes Series on Computing
8, World Scientific (2001) 36-45. [Updated
postprint: 110K]
- Irreducible cyclic presentations of the trivial
group
George Havas and Edmund F. Robertson
Experimental Mathematics 12 (2003) 487-490.
[Reprint: 101K]
- Short balanced presentations of perfect groups
George Havas and Colin Ramsay
Groups St Andrews 2001 in Oxford, Volume I, London
Mathematical Society Lecture Note Series 304,
Cambridge University Press (2003) 238-243. [Preprint:
106K | Reprint: 308K]
- On decomposition of sub-linearised polynomials
Robert S. Coulter, George Havas and Marie Henderson
Journal of the Australian Mathematical Society 76
(2004) 317-328. [Reprint: 102K]
- On the efficiency of some finite groups
George Havas, M.F. Newman and E.A. O'Brien
Communications in Algebra 32 (2004) 649-656.
[Reprint: 154K]
- 4-Engel groups are locally nilpotent
George Havas and M. R. Vaughan-Lee
International Journal of Algebra and Computation 15
(2005) 649-682. [Reprint: 418K |
Supplementary materials]
- Experimenting with infinite groups, I
Gilbert Baumslag, Sean Cleary and George Havas
Experimental Mathematics 13 (2004) 495-502.
[Reprint: 148K | Tables: 55K]
- Nice efficient presentations for all small simple groups
and their covers
Colin M. Campbell, George Havas, Colin Ramsay and Edmund F.
Robertson
LMS Journal of Computation and Mathematics 7 (2004)
266-283. [Reprint: 205K]
- Efficient presentations for the Mathieu simple group
M22 and its cover
Marston Conder, George Havas and Colin Ramsay
Finite Geometries, Groups, and Computation (Proceedings of
the conference Finite Geometries, Groups, and Computation,
September 4-9, 2004, Pingree Park, Colorado, USA), Walter
de Gruyter (2006) 33-42. [Preprint: 125K]
- Certain Roman and flock generalized quadrangles have
nonisomorphic elation groups
George Havas, C.R. Leedham-Green, E.A. O'Brien and Michael
C. Slattery
Advances in Geometry 6 (2006) 389-395. [Reprint:
94K]
- Computing with elation groups
George Havas, C.R. Leedham-Green, E.A. O'Brien and Michael
C. Slattery
Finite Geometries, Groups, and Computation (Proceedings of
the conference Finite Geometries, Groups, and Computation,
September 4-9, 2004, Pingree Park, Colorado, USA), Walter
de Gruyter (2006) 95-102. [Preprint: 105K]
- The Fa,b,c conjecture, I
George Havas and Edmund F. Robertson
Irish Mathematical Society Bulletin 56 (2005),
75-80. [Reprint: 96K]
- Computing with 4-Engel groups
George Havas and M. R. Vaughan-Lee
Groups St Andrews 2005, Volume II, London
Mathematical Society Lecture Note Series 340,
Cambridge University Press (2007), 457-474. [Preprint:
125K | Reprint: 476K]
- On proofs in finitely presented groups
George Havas and Colin Ramsay
Groups St Andrews 2005, Volume II, London
Mathematical Society Lecture Note Series 340,
Cambridge University Press (2007), 475-485. [Preprint:
188K | Reprint: 611K]
- The Fa,b,c conjecture is true, II
George Havas, Edmund F. Robertson and Dale C.
Sutherland
Journal of Algebra 300 (2006), 57-72. [Reprint:
138K]
- Experiences with the Knuth-Bendix procedure
Oberwolfach Report 30/2006, European Mathematical Society
Publishing House (2007), 1834-1837. [Preprint: 138K]
- On the efficiency of the simple groups with order less
than a million and their covers
Colin M. Campbell, George Havas, Colin Ramsay and Edmund F.
Robertson
Experimental Mathematics 16 (2007), 347-358.
[Reprint: 552K]
- Addendum to an elementary introduction to coset table
methods in computational group theory
Colin M. Campbell, George Havas and Edmund F.
Robertson
Groups St Andrews 1981 (revised edition), London
Mathematical Society Lecture Note Series 71,
Cambridge University Press (2007), 361-364. [Preprint:
78K | Reprint: 302K]
- Defining set spectra for designs can have arbitrarily
large gaps
George Havas, Julie L. Lawrence, Colin Ramsay, Anne Penfold
Street and Emine Sule Yazici
Utilitas Mathematica 75 (2008), 67-81. [Preprint:
126K]
- Behind and beyond a theorem on groups related to
trivalent graphs
George Havas, Edmund F. Robertson and Dale C.
Sutherland
Journal of the Australian Mathematical Society 85
(2008) 323-332. [Reprint: 130K]
- On counterexamples to the Hughes conjecture
George Havas and Michael Vaughan-Lee
Journal of Algebra 322 (2009) 791-801. [Reprint:
201K | Supplementary materials]
- On Coxeter's families of group presentations
George Havas and Derek F. Holt
Journal of Algebra 324 (2010) 1076-1082. [Reprint:
162K | Supplementary materials]
- On one-relator quotients of the modular group
Marston Conder, George Havas and M.F. Newman
Groups St Andrews 2009 in Bath, Volume I, London
Mathematical Society Lecture Note Series 387,
Cambridge University Press (2011), 183-197. [Preprint:
202K | Reprint: 162K | Supplementary
materials]
- All simple groups with order from 1 million to 5 million
are efficient
Colin M. Campbell, George Havas, Colin Ramsay and Edmund F.
Robertson
International Journal of Group Theory 3 (2014) 17-30. [
Free
Access]
- On presentations for unitary groups
Marston Conder, George Havas, M.F. Newmani and Colin
Ramsay
Journal of Algebra (2019). [Journal
link | Reprint: 310K]
Last updated: 23 December 2019