## Norton, Simon Phillips

Compute Distance To:
 Author ID: norton.simon-p Published as: Norton, S. P.; Norton, Simon P.; Norton, Simon; Norton, S. more...less External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 35 Publications since 1979, including 1 Book 3 Further Contributions Biographic References: 3 Publications Co-Authors: 14 Co-Authors with 17 Joint Publications 287 Co-Co-Authors
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### Co-Authors

 21 single-authored 6 Wilson, Robert Arnott 5 Conway, John Horton 3 Parker, Richard A. 2 Bannai, Eiichi 2 Glauberman, George 2 Leech, John 2 Mason, Geoffrey 2 Odlyzko, Andrew M. 2 Queen, Larissa 2 Sloane, Neil James Alexander 2 Venkov, Boris B. 1 Borcherds, Richard Ewen 1 Cummins, Chris J. 1 Curtis, Robert T. 1 Dong, Chongying 1 Farooq, Adeel 1 Ford, David J. 1 Lewis, Richard P. 1 Li, Haisheng 1 McKay, John 1 Soicher, Leonard H. 1 Thackray, J. G.
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### Serials

 3 Communications in Algebra 2 Journal of Algebra 2 Grundlehren der Mathematischen Wissenschaften 1 Discrete Mathematics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Symbolic Computation 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin de la Société Mathématique de Belgique. Série A
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### Fields

 33 Group theory and generalizations (20-XX) 13 Number theory (11-XX) 5 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 3,061 times in 2,113 Documents Cited by Year
Atlas of finite groups. Maximal subgroups and ordinary characters for simple groups. With comput. assist. from J. G. Thackray. Zbl 0568.20001
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; Wilson, R. A.
1985
Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003
Conway, J. H.; Sloane, N. J. A.
1999
Sphere packings, lattices and groups. With additional contributions by E. Bannai, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Zbl 0634.52002
Conway, J. H.; Sloane, N. J. A.
1988
Monstrous moonshine. Zbl 0424.20010
Conway, J. H.; Norton, S. P.
1979
Associative subalgebras of the Griess algebra and related topics. Zbl 0946.17011
Dong, C.; Li, H.; Mason, G.; Norton, S. P.
1998
Anatomy of the Monster. I. Zbl 0908.20008
Norton, S. P.
1998
More on replicable functions. Zbl 0834.11021
Ford, David; McKay, John; Norton, Simon
1994
The Monster algebra: Some new formulae. Zbl 0847.11023
Norton, S.
1996
The maximal subgroups of $$F_ 4(2)$$ and its automorphism group. Zbl 0692.20010
Norton, S. P.; Wilson, R. A.
1989
Maximal subgroups of the Harada-Norton group. Zbl 0595.20017
Norton, S. P.; Wilson, R. A.
1986
Anatomy of the Monster. II. Zbl 1017.20009
Norton, Simon P.; Wilson, Robert A.
2002
A correction to the 41-structure of the Monster, a construction of a new maximal subgroup $$L_2(41)$$ and a new Moonshine phenomenon. Zbl 1281.20019
Norton, Simon P.; Wilson, Robert A.
2013
More on moonshine. Zbl 0541.20009
Norton, S. P.
1984
On the group $$Fi_{24}$$. Zbl 0636.20013
Norton, Simon P.
1988
Finite groups and modular functions (with an appendix by S. P. Norton). Zbl 0642.10025
Mason, Geoffrey
1987
Rational Hauptmoduls are replicable. Zbl 0863.11029
Cummins, C. J.; Norton, S. P.
1995
The uniqueness of the Fischer-Griess monster. Zbl 0577.20013
Norton, S. P.
1985
The bimonster, the group $$Y_{555}$$, and the projective plane of order 3. Zbl 0693.20014
Conway, John H.; Norton, Simon P.; Soicher, Leonard H.
1988
Constructing the Monster. Zbl 0806.20019
Norton, S. P.
1992
Presenting the Monster? Zbl 0735.20008
Norton, Simon
1990
On McKay’s connection between the affine $$E_8$$ diagram and the Monster. Zbl 0999.20011
Glauberman, George; Norton, Simon P.
2001
From Moonshine to the Monster. Zbl 1009.20023
Norton, Simon
2001
Netting the Monster. Zbl 0929.20014
Norton, S. P.
1998
On a problem raised by P. J. Cameron. Zbl 0816.05003
Lewis, Richard P.; Norton, Simon P.
1995
A bound for the covering radius of the Leech lattice. Zbl 0496.10019
Norton, S.
1982
A presentation of the Monster and a set of matrices which satisfy it. Zbl 1279.20024
Farooq, Adeel; Norton, Simon; Wilson, Robert A.
2013
Free transposition groups. Zbl 0844.20010
Norton, S. P.
1996
The construction of $$J_4$$. Zbl 0448.20018
Norton, Simon
1980
The string of nets. Zbl 1270.20013
Norton, Simon P.
2013
Moonshine-type functions and the CRM correspondence. Zbl 1250.11044
Norton, Simon P.
2009
A correction to the 41-structure of the Monster, a construction of a new maximal subgroup $$L_2(41)$$ and a new Moonshine phenomenon. Zbl 1281.20019
Norton, Simon P.; Wilson, Robert A.
2013
A presentation of the Monster and a set of matrices which satisfy it. Zbl 1279.20024
Farooq, Adeel; Norton, Simon; Wilson, Robert A.
2013
The string of nets. Zbl 1270.20013
Norton, Simon P.
2013
Moonshine-type functions and the CRM correspondence. Zbl 1250.11044
Norton, Simon P.
2009
Anatomy of the Monster. II. Zbl 1017.20009
Norton, Simon P.; Wilson, Robert A.
2002
On McKay’s connection between the affine $$E_8$$ diagram and the Monster. Zbl 0999.20011
Glauberman, George; Norton, Simon P.
2001
From Moonshine to the Monster. Zbl 1009.20023
Norton, Simon
2001
Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003
Conway, J. H.; Sloane, N. J. A.
1999
Associative subalgebras of the Griess algebra and related topics. Zbl 0946.17011
Dong, C.; Li, H.; Mason, G.; Norton, S. P.
1998
Anatomy of the Monster. I. Zbl 0908.20008
Norton, S. P.
1998
Netting the Monster. Zbl 0929.20014
Norton, S. P.
1998
The Monster algebra: Some new formulae. Zbl 0847.11023
Norton, S.
1996
Free transposition groups. Zbl 0844.20010
Norton, S. P.
1996
Rational Hauptmoduls are replicable. Zbl 0863.11029
Cummins, C. J.; Norton, S. P.
1995
On a problem raised by P. J. Cameron. Zbl 0816.05003
Lewis, Richard P.; Norton, Simon P.
1995
More on replicable functions. Zbl 0834.11021
Ford, David; McKay, John; Norton, Simon
1994
Constructing the Monster. Zbl 0806.20019
Norton, S. P.
1992
Presenting the Monster? Zbl 0735.20008
Norton, Simon
1990
The maximal subgroups of $$F_ 4(2)$$ and its automorphism group. Zbl 0692.20010
Norton, S. P.; Wilson, R. A.
1989
Sphere packings, lattices and groups. With additional contributions by E. Bannai, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Zbl 0634.52002
Conway, J. H.; Sloane, N. J. A.
1988
On the group $$Fi_{24}$$. Zbl 0636.20013
Norton, Simon P.
1988
The bimonster, the group $$Y_{555}$$, and the projective plane of order 3. Zbl 0693.20014
Conway, John H.; Norton, Simon P.; Soicher, Leonard H.
1988
Finite groups and modular functions (with an appendix by S. P. Norton). Zbl 0642.10025
Mason, Geoffrey
1987
Maximal subgroups of the Harada-Norton group. Zbl 0595.20017
Norton, S. P.; Wilson, R. A.
1986
Atlas of finite groups. Maximal subgroups and ordinary characters for simple groups. With comput. assist. from J. G. Thackray. Zbl 0568.20001
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; Wilson, R. A.
1985
The uniqueness of the Fischer-Griess monster. Zbl 0577.20013
Norton, S. P.
1985
More on moonshine. Zbl 0541.20009
Norton, S. P.
1984
A bound for the covering radius of the Leech lattice. Zbl 0496.10019
Norton, S.
1982
The construction of $$J_4$$. Zbl 0448.20018
Norton, Simon
1980
Monstrous moonshine. Zbl 0424.20010
Conway, J. H.; Norton, S. P.
1979
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### Cited by 1,481 Authors

 57 Tiep Pham Huu 47 Praeger, Cheryl Elisabeth 39 Li, Caiheng 33 Wilson, Robert Arnott 32 Kondrat’ev, Anatoliĭ Semenovich 29 Tong-Viet, Hung P. 26 Guralnick, Robert Michael 25 Khosravi, Behrooz 25 Lam, Ching Hung 25 Navarro, Gabriel 25 Pan, Jiangmin 23 Moori, Jamshid 22 Malle, Gunter 22 Revin, Danila Olegovitch 21 Burness, Timothy C. 21 Darafsheh, Mohammad Reza 21 Spiga, Pablo 20 Rowley, Peter J. 20 Zalesski, Alexandre Efimovich 19 Mazurov, Viktor Danilovich 19 Nguyen Ngoc Hung 19 Qian, Guohua 18 An, Jianbei 18 Chen, Guiyun 18 Feng, Yanquan 18 Giudici, Michael 18 Ivanov, Alexander A. 18 Liebeck, Martin Walter 17 Yang, Yong 16 Duncan, John F. R. 16 Griess, Robert L. jun. 16 Khalili Asboei, Alireza 16 Lewis, Mark L. 16 Lu, Zaiping 16 Maslova, Natal’ya Vladimirovna 15 Lucchini, Andrea 15 Shi, Wujie 15 Vdovin, Evgeniĭ Petrovich 14 Kitazume, Masaaki 14 Koshitani, Shigeo 14 Li, Xianhua 14 Maróti, Attila 14 Rodrigues, Bernardo Gabriel 14 Ryba, Alexander J. E. 13 Daneshkhah, Ashraf 13 Kim, Chang Heon 13 Moghaddamfar, Ali Reza 13 Müller, Jürgen 13 O’Brien, Eamonn A. 13 Yamada, Hiromichi 13 Zhou, Shenglin 12 Alavi, Seyed Hassan 12 Ashrafi, Ali Reza 12 Dolfi, Silvio 12 Fang, Xingui 12 Iranmanesh, Ali 12 Jones, Gareth A. 12 Leemans, Dimitri 12 Pasini, Antonio 12 Saxl, Jan 12 Vasil’ev, Andreĭ Viktorovich 11 Hiss, Gerhard 11 Katz, Nicholas Michael 11 Liu, Yanjun 11 Moretó, Alexander 11 Parker, Christopher W. 11 Shpectorov, Sergey Viktorovich 11 Stroth, Gernot 11 Yamauchi, Hiroshi 11 Zenkov, Viktor Ivanovich 10 Akhlaghi, Zeinab 10 Beltrán, Antonio Felip 10 Cheng, Miranda C. N. 10 Gorshkov, Il’ya Borisovich 10 Koo, Jakyung 10 Shalev, Aner 10 Tyutyanov, Valentin Nikolaevich 10 Van Maldeghem, Hendrik J. 10 Yan, Yanxiong 10 Yoshiara, Satoshi 9 Allcock, Daniel Jonathan 9 Curtis, Robert T. 9 Harrison, Sarah M. 9 Li, Jingjian 9 Ling, Bo 9 Prins, Abraham Love 9 Shimakura, Hiroki 9 Staroletov, Alexey Mikhailovich 9 Wang, Jie 8 Ali, Faryad 8 Baumeister, Barbara 8 Dong, Chongying 8 Eaton, Charles William 8 Güler, Bahadır Özgür 8 Guo, Wenbin 8 Holt, Derek F. 8 Khosravi, Bahman 8 Khosravi, Behnam 8 Lytkina, Dar’ya Viktorovna 8 Marušič, Dragan ...and 1,381 more Authors
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### Cited in 234 Serials

 406 Journal of Algebra 75 Communications in Algebra 58 Discrete Mathematics 54 Israel Journal of Mathematics 53 Journal of Group Theory 51 Journal of Pure and Applied Algebra 50 Journal of Combinatorial Theory. Series A 50 Proceedings of the Steklov Institute of Mathematics 49 Siberian Mathematical Journal 46 European Journal of Combinatorics 41 Archiv der Mathematik 38 Journal of Algebraic Combinatorics 35 Transactions of the American Mathematical Society 34 Journal of Algebra and its Applications 33 Advances in Mathematics 33 Algebra and Logic 28 Proceedings of the American Mathematical Society 25 Monatshefte für Mathematik 23 Mathematische Zeitschrift 23 Journal of Symbolic Computation 23 Designs, Codes and Cryptography 22 Journal of Number Theory 21 Communications in Mathematical Physics 18 International Journal of Group Theory 17 Duke Mathematical Journal 17 Inventiones Mathematicae 16 Rendiconti del Seminario Matematico della Università di Padova 16 Experimental Mathematics 15 Geometriae Dedicata 14 Graphs and Combinatorics 14 Journal of Mathematical Sciences (New York) 14 Frontiers of Mathematics in China 13 Bulletin of the Australian Mathematical Society 13 Mathematics of Computation 13 Journal of Combinatorial Theory. Series B 13 Manuscripta Mathematica 13 Algebras and Representation Theory 13 Journal of High Energy Physics 11 The Ramanujan Journal 11 Sibirskie Èlektronnye Matematicheskie Izvestiya 11 Science China. Mathematics 10 Mathematical Notes 10 Rocky Mountain Journal of Mathematics 10 Mathematische Annalen 10 Finite Fields and their Applications 10 Acta Mathematica Sinica. English Series 10 Open Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Science in China. Series A 9 Bulletin of the American Mathematical Society. New Series 9 LMS Journal of Computation and Mathematics 9 Journal of Applied Mathematics and Computing 9 Ars Mathematica Contemporanea 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 International Journal of Algebra and Computation 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Nuclear Physics. B 7 Applied Mathematics and Computation 7 Nagoya Mathematical Journal 7 Bulletin of the Iranian Mathematical Society 7 Journal of the American Mathematical Society 7 The Electronic Journal of Combinatorics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Research in the Mathematical Sciences 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Ukrainian Mathematical Journal 6 Czechoslovak Mathematical Journal 6 Journal of Geometry 6 Combinatorica 6 Linear Algebra and its Applications 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Boletim da Sociedade Paranaense de Matemática. Terceira Série 6 Forum of Mathematics, Sigma 6 Journal of Linear and Topological Algebra 5 Journal für die Reine und Angewandte Mathematik 5 Memoirs of the American Mathematical Society 5 Michigan Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 Journal de Théorie des Nombres de Bordeaux 5 Transformation Groups 5 Representation Theory 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Problemy Fiziki, Matematiki i Tekhniki 5 Research in Number Theory 4 Letters in Mathematical Physics 4 Beiträge zur Algebra und Geometrie 4 Acta Mathematica 4 Journal of the Mathematical Society of Japan 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Forum Mathematicum 4 Journal of Algebraic Geometry 4 Selecta Mathematica. New Series 4 Journal of the European Mathematical Society (JEMS) 4 Advances in Geometry 4 Journal of the Australian Mathematical Society 4 International Journal of Number Theory 4 Journal of Physics A: Mathematical and Theoretical ...and 134 more Serials
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### Cited in 44 Fields

 1,628 Group theory and generalizations (20-XX) 492 Combinatorics (05-XX) 288 Number theory (11-XX) 161 Nonassociative rings and algebras (17-XX) 118 Algebraic geometry (14-XX) 114 Geometry (51-XX) 64 Quantum theory (81-XX) 61 Information and communication theory, circuits (94-XX) 35 Associative rings and algebras (16-XX) 33 Computer science (68-XX) 32 Field theory and polynomials (12-XX) 31 Manifolds and cell complexes (57-XX) 27 Topological groups, Lie groups (22-XX) 22 Algebraic topology (55-XX) 19 Functions of a complex variable (30-XX) 17 Relativity and gravitational theory (83-XX) 15 Convex and discrete geometry (52-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 $$K$$-theory (19-XX) 8 Special functions (33-XX) 7 Commutative algebra (13-XX) 7 Differential geometry (53-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)

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