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## Cannon, John J.

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 Author ID: 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
 Documents Indexed: 45 Publications since 1968 2 Contributions as Editor
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#### Co-Authors

 15 single-authored 11 Holt, Derek F. 5 Bosma, Wieb 3 Butler, Gregory 3 Steel, Allan K. 3 Unger, William R. 2 Cox, Bruce C. 2 Havas, George 2 Playoust, Catherine 1 An, Jianbei 1 Butler, Greg 1 Cameron, Peter Jephson 1 Dimino, Lucien A. 1 Donnelly, Steve 1 Eick, Bettina 1 Fieker, Claus 1 Garonzi, Martino 1 James, Rodney 1 Leedham-Green, Charles R. 1 Levy, Dan 1 Maróti, Attila 1 Matthews, Graham 1 McKay, John 1 O’Brien, Eamonn A. 1 Simion, Iulian Ion 1 Slattery, Michael C. 1 Souvignier, Bernd 1 Watkins, Mark James 1 Watson, Jane M. 1 Young, Kiang-chuen
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#### Serials

 16 Journal of Symbolic Computation 3 Mathematics of Computation 2 Journal of Algebra 2 Experimental Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Numerische Mathematik 1 CWI Quarterly 1 Communications of the ACM 1 Euromath Bulletin 1 LMS Journal of Computation and Mathematics 1 Algorithms and Computation in Mathematics
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#### Fields

 38 Group theory and generalizations (20-XX) 27 Computer science (68-XX) 4 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 2,653 times in 2,536 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
1994
Implementation and analysis of the Todd-Coxeter algorithm. Zbl 0314.20028
Cannon, John J.; Dimino, Lucien A.; Havas, George; Watson, Jane M.
1973
Computing maximal subgroups of finite groups. Zbl 1125.20306
Cannon, John; Holt, Derek F.
2004
The transitive permutation groups of degree 32. Zbl 1175.20004
Cannon, John J.; Holt, Derek F.
2008
Automorphism group computation and isomorphism testing in finite groups. Zbl 1032.20016
Cannon, John J.; Holt, Derek F.
2003
An introduction to the group theory language Cayley. Zbl 0544.20002
Cannon, John J.
1984
Construction of defining relators for finite groups. Zbl 0272.20030
Cannon, John J.
1973
Computing the subgroups of a permutation group. Zbl 0984.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
2001
The non-Abelian simple groups $$G$$, $$|G|<10^5$$. Presentations. Zbl 0428.20010
Cannon, John J.; McKay, John; Young, Kiang-chuen
1979
Computing in permutation and matrix groups. I: Normal closure, commutator subgroups, series. Zbl 0552.20002
Butler, Gregory; Cannon, John J.
1982
Computing chief series, composition series and socles in large permutation groups. Zbl 0890.20006
Cannon, John J.; Holt, Derek F.
1997
A computational toolkit for finite permutation groups. Zbl 0648.20002
Cannon, J.
1984
Computing conjugacy class representatives in permutation groups. Zbl 1096.20005
Cannon, John J.; Holt, Derek F.
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
2006
A draft description of the group theory language Cayley. Zbl 0455.20001
Cannon, John J.
1976
Computing the ideal structure of finite semigroups. Zbl 0302.20053
Cannon, John J.
1971
Computers in group theory: a survey. Zbl 0167.45703
Cannon, J. J.
1969
On the computation of conjugacy classes in permutation groups. Zbl 0921.20002
Cannon, John; Souvignier, Bernd
1997
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.
2008
Special polycyclic generating sequences for finite soluble groups. Zbl 1125.20304
Cannon, John J.; Eick, Bettina; Leedham-Green, Charles R.
2005
Computing subgroups of bounded index in a finite group. Zbl 1124.20014
Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K.
2005
Defining relations for the Held-Higman-Thompson simple group. Zbl 0279.20027
Cannon, John J.; Havas, George
1974
On Holt’s algorithm. Zbl 0780.20001
Butler, Greg; Cannon, John J.
1993
Computing Sylow subgroups in permutation groups. Zbl 0884.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
1997
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
1997
Computing in permutation and matrix groups. III: Sylow subgroups. Zbl 0677.20001
Butler, Gregory; Cannon, John
1989
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
1992
Fast recognition of doubly transitive groups. Zbl 0790.20005
Cameron, P. J.; Cannon, J.
1991
Computing projective indecomposable modules and higher cohomology groups. Zbl 1271.20011
Cannon, John J.; Holt, Derek F.
2013
A general purpose group theory program. Zbl 0301.20001
Cannon, John
1974
Computing Sylow subgroups of permutation groups using homomorphic images of centralizers. Zbl 0787.20004
Butler, Gregory; Cannon, John
1991
Computation of isomorphism classes of $$p$$-groups. Zbl 0192.35102
James, Rodney; Cannon, John
1969
Some combinatoria and symbol manipulation programs in group theory. Zbl 0195.03701
Cannon, John J.
1970
Groups equal to a product of three conjugate subgroups. Zbl 1375.20020
Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.
2016
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.
2019
The basis of a computer system for modern algebra. Zbl 0482.68038
Cannon, John J.
1981
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.
2019
Groups equal to a product of three conjugate subgroups. Zbl 1375.20020
Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.
2016
Computing projective indecomposable modules and higher cohomology groups. Zbl 1271.20011
Cannon, John J.; Holt, Derek F.
2013
The transitive permutation groups of degree 32. Zbl 1175.20004
Cannon, John J.; Holt, Derek F.
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.
2008
Computing conjugacy class representatives in permutation groups. Zbl 1096.20005
Cannon, John J.; Holt, Derek F.
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
2006
Special polycyclic generating sequences for finite soluble groups. Zbl 1125.20304
Cannon, John J.; Eick, Bettina; Leedham-Green, Charles R.
2005
Computing subgroups of bounded index in a finite group. Zbl 1124.20014
Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K.
2005
Computing maximal subgroups of finite groups. Zbl 1125.20306
Cannon, John; Holt, Derek F.
2004
Automorphism group computation and isomorphism testing in finite groups. Zbl 1032.20016
Cannon, John J.; Holt, Derek F.
2003
Computing the subgroups of a permutation group. Zbl 0984.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
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.
1997
On the computation of conjugacy classes in permutation groups. Zbl 0921.20002
Cannon, John; Souvignier, Bernd
1997
Computing Sylow subgroups in permutation groups. Zbl 0884.20002
Cannon, John J.; Cox, Bruce C.; Holt, Derek F.
1997
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
1997
Programming with algebraic structures: Design of the Magma language. Zbl 0964.68595
Bosma, Wieb; Cannon, John; Matthews, Graham
1994
On Holt’s algorithm. Zbl 0780.20001
Butler, Greg; Cannon, John J.
1993
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
1992
Fast recognition of doubly transitive groups. Zbl 0790.20005
Cameron, P. J.; Cannon, J.
1991
Computing Sylow subgroups of permutation groups using homomorphic images of centralizers. Zbl 0787.20004
Butler, Gregory; Cannon, John
1991
Computing in permutation and matrix groups. III: Sylow subgroups. Zbl 0677.20001
Butler, Gregory; Cannon, John
1989
An introduction to the group theory language Cayley. Zbl 0544.20002
Cannon, John J.
1984
A computational toolkit for finite permutation groups. Zbl 0648.20002
Cannon, J.
1984
Computing in permutation and matrix groups. I: Normal closure, commutator subgroups, series. Zbl 0552.20002
Butler, Gregory; Cannon, John J.
1982
The basis of a computer system for modern algebra. Zbl 0482.68038
Cannon, John J.
1981
The non-Abelian simple groups $$G$$, $$|G|<10^5$$. Presentations. Zbl 0428.20010
Cannon, John J.; McKay, John; Young, Kiang-chuen
1979
A draft description of the group theory language Cayley. Zbl 0455.20001
Cannon, John J.
1976
Defining relations for the Held-Higman-Thompson simple group. Zbl 0279.20027
Cannon, John J.; Havas, George
1974
A general purpose group theory program. Zbl 0301.20001
Cannon, John
1974
Implementation and analysis of the Todd-Coxeter algorithm. Zbl 0314.20028
Cannon, John J.; Dimino, Lucien A.; Havas, George; Watson, Jane M.
1973
Construction of defining relators for finite groups. Zbl 0272.20030
Cannon, John J.
1973
Computing the ideal structure of finite semigroups. Zbl 0302.20053
Cannon, John J.
1971
Some combinatoria and symbol manipulation programs in group theory. Zbl 0195.03701
Cannon, John J.
1970
Computers in group theory: a survey. Zbl 0167.45703
Cannon, J. J.
1969
Computation of isomorphism classes of $$p$$-groups. Zbl 0192.35102
James, Rodney; Cannon, John
1969
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#### Cited by 2,535 Authors

 65 Conder, Marston D. E. 50 O’Brien, Eamonn A. 46 Feng, Yanquan 44 Praeger, Cheryl Elisabeth 42 Zhou, Jinxin 35 Spiga, Pablo 29 Key, Jennifer D. 29 Leemans, Dimitri 27 Harada, Masaaki 24 Giudici, Michael 23 Burness, Timothy C. 23 Rodrigues, Bernardo Gabriel 22 Siksek, Samir 21 Marušič, Dragan 20 Kutnar, Klavdija 18 de Graaf, Willem Adriaan 18 Havas, George 18 Holt, Derek F. 18 Li, Caiheng 17 An, Jianbei 17 Kemper, Gregor 17 Potočnik, Primož 17 Stoll, Michael 16 Bartoli, Daniele 16 Cannon, John J. 16 Fisher, Tom A. 16 Hajdu, Lajos 16 Lewis, Mark L. 16 Özbudak, Ferruh 16 Voight, John Michael 15 Flannery, Dane Laurence 15 Leedham-Green, Charles R. 14 Pan, Jiangmin 14 Xia, Binzhou 13 Crnković, Dean 13 Liebeck, Martin Walter 13 Nebe, Gabriele 13 Ulas, Maciej 13 Zhou, Shenglin 12 Fu, Fangwei 12 Gao, Jian 12 Kaya, Abidin 12 Moori, Jamshid 12 Rowley, Peter J. 12 Tengely, Szabolcs 12 Yildiz, Bahattin 11 Brooksbank, Peter A. 11 Cremona, John E. 11 Dietrich, Heiko 11 Elsenhans, Andreas-Stephan 11 Grassl, Markus 11 Guralnick, Robert Michael 11 Kovács, István 11 Ling, Bo 11 Malnič, Aleksander 11 Müller, Jan Steffen 11 Roney-Dougal, Colva M. 11 Rouse, Jeremy A. 11 Schost, Éric 11 Shank, R. James 11 Solé, Patrick 11 Šparl, Primož 11 Steinwandt, Rainer 11 Wehlau, David Louis 10 Artebani, Michela 10 Eick, Bettina 10 Faugère, Jean-Charles 10 Fish, Washiela 10 Glasby, Stephen Peter 10 Hulpke, Alexander Jörg 10 Mwambene, Eric 10 Newman, Mike Frederick 10 Wilson, Robert Arnott 9 Balakrishnan, Jennifer S. 9 Bennett, Michael A. 9 Danz, Susanne 9 Devillers, Alice 9 Guest, Simon D. 9 Güneri, Cem 9 Guo, Songtao 9 Jahnel, Jörg 9 Kirschmer, Markus 9 Lou, Bengong 9 Luca, Florian 9 Montanucci, Maria 9 Munemasa, Akihiro 9 Robertson, Edmund Frederick 9 Širáň, Jozef 9 Sonnino, Angelo 9 Várilly-Alvarado, Anthony 9 Yang, Dawei 8 Bamberg, John 8 Bremner, Andrew 8 Brown, Gavin Dennis 8 Bujalance, Emilio 8 Egan, Ronan 8 Fernandes, Maria Elisa 8 Freitas, Nuno 8 Kida, Masanari 8 Laface, Antonio ...and 2,435 more Authors
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#### Cited in 282 Serials

 241 Journal of Algebra 142 Journal of Symbolic Computation 98 Designs, Codes and Cryptography 97 Journal of Number Theory 90 Mathematics of Computation 87 Discrete Mathematics 68 Finite Fields and their Applications 58 LMS Journal of Computation and Mathematics 54 International Journal of Number Theory 51 Transactions of the American Mathematical Society 48 Journal of Algebraic Combinatorics 46 Communications in Algebra 43 Journal of Pure and Applied Algebra 41 European Journal of Combinatorics 36 Journal of Combinatorial Theory. Series A 33 Experimental Mathematics 31 Journal de Théorie des Nombres de Bordeaux 31 Advances in Mathematics of Communications 30 Applicable Algebra in Engineering, Communication and Computing 27 Journal of Combinatorial Theory. Series B 27 Proceedings of the American Mathematical Society 27 Graphs and Combinatorics 26 Acta Arithmetica 26 International Journal of Algebra and Computation 26 Journal of Group Theory 25 Advances in Mathematics 25 The Electronic Journal of Combinatorics 25 Journal of Algebra and its Applications 24 Cryptography and Communications 23 Bulletin of the Australian Mathematical Society 22 Archiv der Mathematik 22 Mathematische Zeitschrift 20 Israel Journal of Mathematics 19 Discrete Applied Mathematics 19 Research in Number Theory 17 Journal of the Australian Mathematical Society 16 Ars Mathematica Contemporanea 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Periodica Mathematica Hungarica 13 Journal of Algebra, Combinatorics, Discrete Structures and Applications 12 Rocky Mountain Journal of Mathematics 12 Compositio Mathematica 12 The Ramanujan Journal 12 Mathematics in Computer Science 11 Journal of Geometry 10 Monatshefte für Mathematik 10 Journal of Mathematical Cryptology 10 Science China. Mathematics 9 Journal of Graph Theory 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Journal of Cryptology 9 Linear Algebra and its Applications 9 Forum of Mathematics, Sigma 8 Journal of the London Mathematical Society. Second Series 8 Manuscripta Mathematica 8 Theoretical Computer Science 8 Journal of Combinatorial Designs 8 Transformation Groups 7 Indian Journal of Pure & Applied Mathematics 7 Duke Mathematical Journal 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Annalen 7 Discrete & Computational Geometry 7 Algebra Colloquium 7 Algebras and Representation Theory 6 Information Processing Letters 6 Glasgow Mathematical Journal 6 Journal of the European Mathematical Society (JEMS) 6 Advances in Geometry 6 Algebra & Number Theory 6 SIAM Journal on Applied Algebra and Geometry 5 Journal of Mathematical Physics 5 Beiträge zur Algebra und Geometrie 5 Annales de l’Institut Fourier 5 Applied Mathematics and Computation 5 Geometriae Dedicata 5 Nagoya Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 Journal of Complexity 5 International Journal of Computer Mathematics 5 Journal of Mathematical Sciences (New York) 5 Selecta Mathematica. New Series 5 Acta Mathematica Sinica. English Series 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 International Journal of Group Theory 5 European Journal of Mathematics 4 Bulletin of the London Mathematical Society 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Computational and Applied Mathematics 4 Journal of the Mathematical Society of Japan 4 Memoirs of the American Mathematical Society 4 Topology and its Applications 4 Acta Mathematica Hungarica 4 Japan Journal of Industrial and Applied Mathematics 4 Representation Theory 4 Journal of High Energy Physics 4 Integers 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Applied Mathematics and Computing 4 Discrete Mathematics, Algorithms and Applications ...and 182 more Serials
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#### Cited in 52 Fields

 878 Group theory and generalizations (20-XX) 841 Number theory (11-XX) 533 Combinatorics (05-XX) 473 Algebraic geometry (14-XX) 400 Information and communication theory, circuits (94-XX) 226 Computer science (68-XX) 147 Commutative algebra (13-XX) 120 Geometry (51-XX) 96 Associative rings and algebras (16-XX) 87 Field theory and polynomials (12-XX) 61 Nonassociative rings and algebras (17-XX) 56 Convex and discrete geometry (52-XX) 54 Manifolds and cell complexes (57-XX) 43 Quantum theory (81-XX) 35 Functions of a complex variable (30-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Dynamical systems and ergodic theory (37-XX) 21 Topological groups, Lie groups (22-XX) 21 Numerical analysis (65-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 14 Category theory; homological algebra (18-XX) 14 Special functions (33-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Biology and other natural sciences (92-XX) 10 Algebraic topology (55-XX) 9 $$K$$-theory (19-XX) 9 Probability theory and stochastic processes (60-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-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)