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Author ID: cannon.john-j Recent zbMATH articles by "Cannon, John J."
Published as: Cannon, John J.; Cannon, John; Cannon, J. J.; Cannon, J.
Homepage: http://www.maths.usyd.edu.au/u/john/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 3,499 times in 3,335 Documents Cited by Year
The Magma algebra system. I: The user language. Zbl 0898.68039
Bosma, Wieb; Cannon, John; Playoust, Catherine
1997
Programming with algebraic structures: Design of the Magma language. Zbl 0964.68595
Bosma, Wieb; Cannon, John; Matthews, Graham
71
1994
An introduction to the group theory language Cayley. Zbl 0544.20002
Cannon, John J.
37
1984
Implementation and analysis of the Todd-Coxeter algorithm. Zbl 0314.20028
Cannon, John J.; Dimino, Lucien A.; Havas, George; Watson, Jane M.
29
1973
The transitive permutation groups of degree 32. Zbl 1175.20004
Cannon, John J.; Holt, Derek F.
24
2008
MAGMA: a new computer algebra system. Zbl 1465.68313
Cannon, John; Playoust, Catherine
24
1996
Automorphism group computation and isomorphism testing in finite groups. Zbl 1032.20016
Cannon, John J.; Holt, Derek F.
24
2003
Computing maximal subgroups of finite groups. Zbl 1125.20306
Cannon, John; Holt, Derek F.
23
2004
Construction of defining relators for finite groups. Zbl 0272.20030
Cannon, John J.
18
1973
Computing the subgroups of a permutation group. Zbl 0984.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
13
2001
The non-Abelian simple groups \(G\), \(|G|<10^5\). Presentations. Zbl 0428.20010
Cannon, John J.; McKay, John; Young, Kiang-chuen
12
1979
Computing chief series, composition series and socles in large permutation groups. Zbl 0890.20006
Cannon, John J.; Holt, Derek F.
9
1997
Computing conjugacy class representatives in permutation groups. Zbl 1096.20005
Cannon, John J.; Holt, Derek F.
9
2006
Computing in permutation and matrix groups. I: Normal closure, commutator subgroups, series. Zbl 0552.20002
Butler, Gregory; Cannon, John J.
9
1982
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
8
2006
The Alperin weight conjecture and Dade’s conjecture for the simple group \(Fi_{24}'\). Zbl 1225.20010
An, Jianbei; Cannon, John J.; O’Brien, E. A.; Unger, W. R.
7
2008
A computational toolkit for finite permutation groups. Zbl 0648.20002
Cannon, J.
7
1984
On the computation of conjugacy classes in permutation groups. Zbl 0921.20002
Cannon, John; Souvignier, Bernd
7
1997
Computers in group theory: a survey. Zbl 0167.45703
Cannon, J. J.
6
1969
A draft description of the group theory language Cayley. Zbl 0455.20001
Cannon, John J.
6
1976
Computing the ideal structure of finite semigroups. Zbl 0302.20053
Cannon, John J.
6
1971
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
5
1997
Computing subgroups of bounded index in a finite group. Zbl 1124.20014
Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K.
5
2005
Computing local structure of large finite groups. Zbl 0253.20027
Cannon, John J.
4
1971
Special polycyclic generating sequences for finite soluble groups. Zbl 1125.20304
Cannon, John J.; Eick, Bettina; Leedham-Green, Charles R.
4
2005
Defining relations for the Held-Higman-Thompson simple group. Zbl 0279.20027
Cannon, John J.; Havas, George
3
1974
Computing Sylow subgroups in permutation groups. Zbl 0884.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
2
1997
Fast recognition of doubly transitive groups. Zbl 0790.20005
Cameron, P. J.; Cannon, J.
2
1991
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Computing in permutation and matrix groups. III: Sylow subgroups. Zbl 0677.20001
Butler, Gregory; Cannon, John
2
1989
Software tools for group theory. Zbl 0448.20004
Cannon, John J.
2
1980
On Holt’s algorithm. Zbl 0780.20001
Butler, Greg; Cannon, John J.
2
1993
Groups equal to a product of three conjugate subgroups. Zbl 1375.20020
Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.
2
2016
Computing projective indecomposable modules and higher cohomology groups. Zbl 1271.20011
Cannon, John J.; Holt, Derek F.
2
2013
Computing Sylow subgroups of permutation groups using homomorphic images of centralizers. Zbl 0787.20004
Butler, Gregory; Cannon, John
1
1991
Computation of isomorphism classes of \(p\)-groups. Zbl 0192.35102
James, Rodney; Cannon, John
1
1969
Some combinatoria and symbol manipulation programs in group theory. Zbl 0195.03701
Cannon, John J.
1
1970
The use of permutation representations in structural computations in large finite matrix groups. Zbl 1453.20001
Cannon, John J.; Holt, Derek F.; Unger, William R.
1
2019
The basis of a computer system for modern algebra. Zbl 0482.68038
Cannon, John J.
1
1981
A general purpose group theory program. Zbl 0301.20001
Cannon, John
1
1974
Construction of the irreducible modular representations of a finite group. Zbl 1485.20026
Cannon, John J.; Steel, Allan K.; Unger, William R.
1
2020
Construction of the irreducible modular representations of a finite group. Zbl 1485.20026
Cannon, John J.; Steel, Allan K.; Unger, William R.
1
2020
The use of permutation representations in structural computations in large finite matrix groups. Zbl 1453.20001
Cannon, John J.; Holt, Derek F.; Unger, William R.
1
2019
Groups equal to a product of three conjugate subgroups. Zbl 1375.20020
Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.
2
2016
Computing projective indecomposable modules and higher cohomology groups. Zbl 1271.20011
Cannon, John J.; Holt, Derek F.
2
2013
The transitive permutation groups of degree 32. Zbl 1175.20004
Cannon, John J.; Holt, Derek F.
24
2008
The Alperin weight conjecture and Dade’s conjecture for the simple group \(Fi_{24}'\). Zbl 1225.20010
An, Jianbei; Cannon, John J.; O&rsquo;Brien, E. A.; Unger, W. R.
7
2008
Computing conjugacy class representatives in permutation groups. Zbl 1096.20005
Cannon, John J.; Holt, Derek F.
9
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
8
2006
Computing subgroups of bounded index in a finite group. Zbl 1124.20014
Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K.
5
2005
Special polycyclic generating sequences for finite soluble groups. Zbl 1125.20304
Cannon, John J.; Eick, Bettina; Leedham-Green, Charles R.
4
2005
Computing maximal subgroups of finite groups. Zbl 1125.20306
Cannon, John; Holt, Derek F.
23
2004
Automorphism group computation and isomorphism testing in finite groups. Zbl 1032.20016
Cannon, John J.; Holt, Derek F.
24
2003
Computing the subgroups of a permutation group. Zbl 0984.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
13
2001
The Magma algebra system. I: The user language. Zbl 0898.68039
Bosma, Wieb; Cannon, John; Playoust, Catherine
1997
Computing chief series, composition series and socles in large permutation groups. Zbl 0890.20006
Cannon, John J.; Holt, Derek F.
9
1997
On the computation of conjugacy classes in permutation groups. Zbl 0921.20002
Cannon, John; Souvignier, Bernd
7
1997
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
5
1997
Computing Sylow subgroups in permutation groups. Zbl 0884.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
2
1997
MAGMA: a new computer algebra system. Zbl 1465.68313
Cannon, John; Playoust, Catherine
24
1996
Programming with algebraic structures: Design of the Magma language. Zbl 0964.68595
Bosma, Wieb; Cannon, John; Matthews, Graham
71
1994
On Holt’s algorithm. Zbl 0780.20001
Butler, Greg; Cannon, John J.
2
1993
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Fast recognition of doubly transitive groups. Zbl 0790.20005
Cameron, P. J.; Cannon, J.
2
1991
Computing Sylow subgroups of permutation groups using homomorphic images of centralizers. Zbl 0787.20004
Butler, Gregory; Cannon, John
1
1991
Computing in permutation and matrix groups. III: Sylow subgroups. Zbl 0677.20001
Butler, Gregory; Cannon, John
2
1989
An introduction to the group theory language Cayley. Zbl 0544.20002
Cannon, John J.
37
1984
A computational toolkit for finite permutation groups. Zbl 0648.20002
Cannon, J.
7
1984
Computing in permutation and matrix groups. I: Normal closure, commutator subgroups, series. Zbl 0552.20002
Butler, Gregory; Cannon, John J.
9
1982
The basis of a computer system for modern algebra. Zbl 0482.68038
Cannon, John J.
1
1981
Software tools for group theory. Zbl 0448.20004
Cannon, John J.
2
1980
The non-Abelian simple groups \(G\), \(|G|<10^5\). Presentations. Zbl 0428.20010
Cannon, John J.; McKay, John; Young, Kiang-chuen
12
1979
A draft description of the group theory language Cayley. Zbl 0455.20001
Cannon, John J.
6
1976
Defining relations for the Held-Higman-Thompson simple group. Zbl 0279.20027
Cannon, John J.; Havas, George
3
1974
A general purpose group theory program. Zbl 0301.20001
Cannon, John
1
1974
Implementation and analysis of the Todd-Coxeter algorithm. Zbl 0314.20028
Cannon, John J.; Dimino, Lucien A.; Havas, George; Watson, Jane M.
29
1973
Construction of defining relators for finite groups. Zbl 0272.20030
Cannon, John J.
18
1973
Computing the ideal structure of finite semigroups. Zbl 0302.20053
Cannon, John J.
6
1971
Computing local structure of large finite groups. Zbl 0253.20027
Cannon, John J.
4
1971
Some combinatoria and symbol manipulation programs in group theory. Zbl 0195.03701
Cannon, John J.
1
1970
Computers in group theory: a survey. Zbl 0167.45703
Cannon, J. J.
6
1969
Computation of isomorphism classes of \(p\)-groups. Zbl 0192.35102
James, Rodney; Cannon, John
1
1969
all top 5

Cited by 3,212 Authors

76 Conder, Marston Donald Edward
58 Zhou, Jinxin
56 Feng, Yanquan
54 O’Brien, Eamonn A.
51 Praeger, Cheryl Elisabeth
42 Spiga, Pablo
34 Burness, Timothy C.
34 Leemans, Dimitri
33 Harada, Masaaki
31 Key, Jennifer D.
31 Siksek, Samir
29 Rodrigues, Bernardo Gabriel
28 Giudici, Michael
27 Voight, John Michael
24 Kutnar, Klavdija
24 Özbudak, Ferruh
23 Gao, Jian
23 Marušič, Dragan
22 Holt, Derek F.
22 Stoll, Michael
21 Fu, Fangwei
21 Xia, Binzhou
20 Bartoli, Daniele
20 Crnković, Dean
20 Li, Caiheng
20 Pan, Jiangmin
20 Potočnik, Primož
19 Fisher, Tom A.
18 An, Jianbei
18 de Graaf, Willem Adriaan
18 Hajdu, Lajos
18 Havas, George
18 Lewis, Mark L.
18 Zhou, Shenglin
17 Kemper, Gregor
17 Nebe, Gabriele
16 Aydin, Nuh
16 Cannon, John J.
16 Devillers, Alice
16 Leedham-Green, Charles R.
15 Elsenhans, Andreas-Stephan
15 Flannery, Dane Laurence
15 Kaya, Abidin
15 Korban, Adrian
15 Moori, Jamshid
15 Rouse, Jeremy A.
15 Rowley, Peter J.
15 Solé, Patrick
15 Švob, Andrea
14 Grassl, Markus
14 Liebeck, Martin Walter
14 Roney-Dougal, Colva M.
14 Šparl, Primož
13 Balakrishnan, Jennifer S.
13 Bennett, Michael A.
13 Freitas, Nuno
13 Guralnick, Robert Michael
13 Kovács, István
13 Laface, Antonio
13 Marcugini, Stefano
13 Pambianco, Fernanda
13 Tengely, Szabolcs
13 Ulas, Maciej
13 Wehlau, David Louis
13 Yildiz, Bahattin
13 Yin, Fugang
12 Brooksbank, Peter A.
12 Castryck, Wouter
12 Cremona, John E.
12 Eick, Bettina
12 Glasby, Stephen Peter
12 Jahnel, Jörg
12 Kida, Masanari
12 Ling, Bo
12 Morgan, Luke
12 Müller, Jan Steffen
12 Pavese, Francesco
12 Schost, Éric
12 Shi, Minjia
12 Soydan, Gokhan
12 Steinwandt, Rainer
11 Dietrich, Heiko
11 Fish, Washiela
11 Güneri, Cem
11 Hulpke, Alexander Jörg
11 Kudo, Momonari
11 Lucchini, Andrea
11 Malnič, Aleksander
11 Munemasa, Akihiro
11 Mwambene, Eric
11 Reid, Alan W.
11 Shank, R. James
11 Yang, Dawei
11 Zywina, David
10 Artebani, Michela
10 Bamberg, John
10 Bremner, Andrew
10 Cossidente, Antonio
10 Dembélé, Lassina
10 Egan, Ronan
...and 3,112 more Authors
all top 5

Cited in 324 Serials

277 Journal of Algebra
160 Journal of Symbolic Computation
121 Designs, Codes and Cryptography
118 Discrete Mathematics
112 Journal of Number Theory
104 Mathematics of Computation
89 Finite Fields and their Applications
67 International Journal of Number Theory
64 Journal of Algebraic Combinatorics
58 LMS Journal of Computation and Mathematics
55 Communications in Algebra
55 Journal of Pure and Applied Algebra
54 Transactions of the American Mathematical Society
43 Journal of Combinatorial Theory. Series A
43 European Journal of Combinatorics
41 Experimental Mathematics
41 Research in Number Theory
40 Advances in Mathematics of Communications
38 Applicable Algebra in Engineering, Communication and Computing
38 Journal of Group Theory
38 Cryptography and Communications
37 Journal de Théorie des Nombres de Bordeaux
35 Acta Arithmetica
32 Advances in Mathematics
32 Journal of Combinatorial Theory. Series B
32 Proceedings of the American Mathematical Society
30 Mathematische Zeitschrift
30 Graphs and Combinatorics
30 The Electronic Journal of Combinatorics
30 Journal of Algebra and its Applications
28 Bulletin of the Australian Mathematical Society
28 International Journal of Algebra and Computation
24 Israel Journal of Mathematics
23 Archiv der Mathematik
22 Journal of the London Mathematical Society. Second Series
21 Algebra & Number Theory
20 Discrete Applied Mathematics
20 Ars Mathematica Contemporanea
19 Quantum Information Processing
18 Bulletin of the London Mathematical Society
18 Journal of the Australian Mathematical Society
16 Periodica Mathematica Hungarica
16 Forum of Mathematics, Sigma
16 Journal of Algebra, Combinatorics, Discrete Structures and Applications
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Journal of Geometry
15 The Ramanujan Journal
14 Rocky Mountain Journal of Mathematics
14 Journal of Graph Theory
14 Mathematics in Computer Science
13 Compositio Mathematica
12 Journal of Cryptology
12 Journal of Combinatorial Designs
11 Indian Journal of Pure & Applied Mathematics
11 Monatshefte für Mathematik
11 Journal of Applied Mathematics and Computing
10 Applied Mathematics and Computation
10 Linear Algebra and its Applications
10 Transformation Groups
10 Journal of Mathematical Cryptology
10 Science China. Mathematics
10 SIAM Journal on Applied Algebra and Geometry
9 Glasgow Mathematical Journal
9 Journal für die Reine und Angewandte Mathematik
9 Manuscripta Mathematica
9 Mathematische Annalen
9 Proceedings of the Edinburgh Mathematical Society. Series II
8 Duke Mathematical Journal
8 Theoretical Computer Science
8 Algebras and Representation Theory
8 Advances in Geometry
8 Mediterranean Journal of Mathematics
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 International Journal of Group Theory
7 Annales de l’Institut Fourier
7 Pacific Journal of Mathematics
7 Discrete & Computational Geometry
7 Revista Matemática Iberoamericana
7 Expositiones Mathematicae
7 Indagationes Mathematicae. New Series
7 Algebra Colloquium
7 Turkish Journal of Mathematics
7 Selecta Mathematica. New Series
7 Journal of High Energy Physics
7 Involve
7 European Journal of Mathematics
7 The Art of Discrete and Applied Mathematics
6 International Journal of Theoretical Physics
6 Information Processing Letters
6 Journal of Mathematical Physics
6 Beiträge zur Algebra und Geometrie
6 Canadian Mathematical Bulletin
6 Functiones et Approximatio. Commentarii Mathematici
6 Geometriae Dedicata
6 Journal of the Mathematical Society of Japan
6 Memoirs of the American Mathematical Society
6 Nagoya Mathematical Journal
6 Proceedings of the Japan Academy. Series A
6 Journal of Complexity
6 Computational and Applied Mathematics
...and 224 more Serials
all top 5

Cited in 54 Fields

1,169 Number theory (11-XX)
1,102 Group theory and generalizations (20-XX)
695 Combinatorics (05-XX)
662 Algebraic geometry (14-XX)
572 Information and communication theory, circuits (94-XX)
261 Computer science (68-XX)
171 Commutative algebra (13-XX)
153 Geometry (51-XX)
129 Associative rings and algebras (16-XX)
115 Field theory and polynomials (12-XX)
95 Quantum theory (81-XX)
80 Nonassociative rings and algebras (17-XX)
76 Manifolds and cell complexes (57-XX)
72 Convex and discrete geometry (52-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
42 Dynamical systems and ergodic theory (37-XX)
39 Functions of a complex variable (30-XX)
24 Numerical analysis (65-XX)
23 Topological groups, Lie groups (22-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
19 Algebraic topology (55-XX)
16 Category theory; homological algebra (18-XX)
16 Special functions (33-XX)
15 Several complex variables and analytic spaces (32-XX)
12 Probability theory and stochastic processes (60-XX)
11 Biology and other natural sciences (92-XX)
10 \(K\)-theory (19-XX)
9 Ordinary differential equations (34-XX)
9 Differential geometry (53-XX)
9 Operations research, mathematical programming (90-XX)
8 Functional analysis (46-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Partial differential equations (35-XX)
4 Statistics (62-XX)
4 Relativity and gravitational theory (83-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Fluid mechanics (76-XX)
2 Measure and integration (28-XX)
2 Mechanics of particles and systems (70-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

Citations by Year