## Curtis, Robert T.

Compute Distance To:
 Author ID: curtis.robert-t Published as: Curtis, R. T.; Curtis, Robert T.; Curtis, Robert more...less External Links: MGP · Wikidata · GND
 Documents Indexed: 39 Publications since 1973, including 2 Books 1 Contribution as Editor Co-Authors: 14 Co-Authors with 18 Joint Publications 152 Co-Co-Authors
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### Co-Authors

 22 single-authored 8 Bray, John N. 3 Bradley, John D. 3 Wilson, Robert Arnott 2 Conway, John Horton 2 Parker, Christopher W. 2 Wiedorn, Corinna 1 Aldhafeeri, Shuaa 1 Bolt, Sean W. 1 Fairbairn, Ben Thomas 1 Hammas, A. M. A. 1 Hasan, Zahid 1 Morris, Tony R. 1 Norton, Simon Phillips 1 Parker, Richard A. 1 Thackray, J. G.
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### Serials

 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Journal of Algebra 3 Journal of the London Mathematical Society. Second Series 3 Journal of Group Theory 2 Geometriae Dedicata 2 Journal of Symbolic Computation 1 Communications in Algebra 1 Ars Combinatoria 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Encyclopedia of Mathematics and Its Applications 1 London Mathematical Society Lecture Note Series
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### Fields

 37 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 6 Geometry (51-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 1,999 times in 1,897 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
A new combinatorial approach to $$M_{24}$$. Zbl 0321.05018
Curtis, R. T.
1976
On subgroups of $$\cdot 0$$. I: Lattice stabilizers. Zbl 0297.20028
Curtis, R. T.
1973
On subgroups of.O. II. Local structure. Zbl 0427.20010
Curtis, R. T.
1980
The maximal subgroups of $$M_{24}$$. Zbl 0364.20006
Curtis, R. T.
1977
Double coset enumeration of symmetrically generated groups. Zbl 1069.20020
Bray, John N.; Curtis, Robert T.
2004
A systematic approach to symmetric presentations. I: Involutory generators. Zbl 0848.20024
Curtis, R. T.; Hammas, A. M. A.; Bray, J. N.
1996
Symmetric presentations. II: The Janko group $$J_ 1$$. Zbl 0738.20014
Curtis, R. T.
1992
Curtis, R. T.
1984
Symmetric presentations. I: Introduction, with particular reference to the Mathieu groups $$M_{12}$$ and $$M_{24}$$. Zbl 0812.20002
Curtis, R. T.
1992
Symmetric generation and existence of Janko group $$J_1$$. Zbl 0937.20005
Curtis, R. T.
1999
Symmetric generation of groups. With applications to many of the sporadic finite simple groups. Zbl 1128.20001
Curtis, Robert T.
2007
Monomial modular representations and construction of the Held group. Zbl 0858.20020
Curtis, R. T.
1996
Symmetric generation of the Higman-Sims group. Zbl 0824.20014
Curtis, R. T.
1995
Natural constructions of the Mathieu groups. Zbl 0691.20003
Curtis, R. T.
1989
Geometric interpretations of the ‘natural’ generators of the Mathieu groups. Zbl 0691.20004
Curtis, R. T.
1990
Symmetric representation of the elements of the Conway group $$.0$$. Zbl 1176.20015
Curtis, R. T.; Fairbairn, B. T.
2009
Symmetric representation of the elements of the Janko group $$J_ 1$$. Zbl 0876.20013
Curtis, R. T.; Hasan, Z.
1996
Construction of a family of Moufang loops. Zbl 1127.20050
Curtis, Robert T.
2007
The Leech lattice $$\Lambda$$ and the Conway group $$\cdot\text{O}$$ revisited. Zbl 1222.20006
Bray, John N.; Curtis, Robert T.
2010
Further elementary techniques using the miracle octad generator. Zbl 0662.20010
Curtis, R. T.
1989
The Steiner system S(5,6,12), the Mathieu group $$M_{12}$$ and the ”Kitten”. Zbl 0555.05014
Curtis, R. T.
1984
A systematic approach to symmetric presentations. II: Generators of order $$3$$. Zbl 0948.20020
Bray, John N.; Curtis, Robert T.
2000
On graphs and codes. Zbl 0761.05068
Curtis, R. T.
1992
Symmetric generation and existence of $$J_3:2$$, the automorphism group of the third Janko group. Zbl 1127.20013
Bradley, J. D.; Curtis, R. T.
2006
Symmetric presentations for the Fischer groups. I: The classical groups $$\text{Sp}_6(2)$$, $$\text{Sp}_8(2)$$, and $$3\cdot\text{O}_7(3)$$. Zbl 1027.20015
Bray, J. N.; Curtis, R. T.; Parker, C. W.; Wiedorn, C. B.
2003
A survey of symmetric generation of sporadic simple groups. Zbl 0907.20036
Curtis, Robert T.
1998
Symmetric generation and existence of $$McL:2$$, the automorphism group of the McLaughlin group. Zbl 1214.20017
Bradley, J. D.; Curtis, R. T.
2010
The Thompson chain of subgroups of the Conway group $$\mathrm{Co}_1$$ and complete graphs on $$n$$ vertices. Zbl 1369.20014
Curtis, Robert T.
2016
Monomial modular representations and symmetric generation of the Harada-Norton group. Zbl 1046.20017
Bray, John N.; Curtis, Robert T.
2003
The Thompson chain of subgroups of the Conway group $$\mathrm{Co}_1$$ and complete graphs on $$n$$ vertices. Zbl 1369.20014
Curtis, Robert T.
2016
The Leech lattice $$\Lambda$$ and the Conway group $$\cdot\text{O}$$ revisited. Zbl 1222.20006
Bray, John N.; Curtis, Robert T.
2010
Symmetric generation and existence of $$McL:2$$, the automorphism group of the McLaughlin group. Zbl 1214.20017
Bradley, J. D.; Curtis, R. T.
2010
Symmetric representation of the elements of the Conway group $$.0$$. Zbl 1176.20015
Curtis, R. T.; Fairbairn, B. T.
2009
Symmetric generation of groups. With applications to many of the sporadic finite simple groups. Zbl 1128.20001
Curtis, Robert T.
2007
Construction of a family of Moufang loops. Zbl 1127.20050
Curtis, Robert T.
2007
Symmetric generation and existence of $$J_3:2$$, the automorphism group of the third Janko group. Zbl 1127.20013
Bradley, J. D.; Curtis, R. T.
2006
Double coset enumeration of symmetrically generated groups. Zbl 1069.20020
Bray, John N.; Curtis, Robert T.
2004
Symmetric presentations for the Fischer groups. I: The classical groups $$\text{Sp}_6(2)$$, $$\text{Sp}_8(2)$$, and $$3\cdot\text{O}_7(3)$$. Zbl 1027.20015
Bray, J. N.; Curtis, R. T.; Parker, C. W.; Wiedorn, C. B.
2003
Monomial modular representations and symmetric generation of the Harada-Norton group. Zbl 1046.20017
Bray, John N.; Curtis, Robert T.
2003
A systematic approach to symmetric presentations. II: Generators of order $$3$$. Zbl 0948.20020
Bray, John N.; Curtis, Robert T.
2000
Symmetric generation and existence of Janko group $$J_1$$. Zbl 0937.20005
Curtis, R. T.
1999
A survey of symmetric generation of sporadic simple groups. Zbl 0907.20036
Curtis, Robert T.
1998
A systematic approach to symmetric presentations. I: Involutory generators. Zbl 0848.20024
Curtis, R. T.; Hammas, A. M. A.; Bray, J. N.
1996
Monomial modular representations and construction of the Held group. Zbl 0858.20020
Curtis, R. T.
1996
Symmetric representation of the elements of the Janko group $$J_ 1$$. Zbl 0876.20013
Curtis, R. T.; Hasan, Z.
1996
Symmetric generation of the Higman-Sims group. Zbl 0824.20014
Curtis, R. T.
1995
Symmetric presentations. II: The Janko group $$J_ 1$$. Zbl 0738.20014
Curtis, R. T.
1992
Symmetric presentations. I: Introduction, with particular reference to the Mathieu groups $$M_{12}$$ and $$M_{24}$$. Zbl 0812.20002
Curtis, R. T.
1992
On graphs and codes. Zbl 0761.05068
Curtis, R. T.
1992
Geometric interpretations of the ‘natural’ generators of the Mathieu groups. Zbl 0691.20004
Curtis, R. T.
1990
Natural constructions of the Mathieu groups. Zbl 0691.20003
Curtis, R. T.
1989
Further elementary techniques using the miracle octad generator. Zbl 0662.20010
Curtis, R. T.
1989
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
Curtis, R. T.
1984
The Steiner system S(5,6,12), the Mathieu group $$M_{12}$$ and the ”Kitten”. Zbl 0555.05014
Curtis, R. T.
1984
On subgroups of.O. II. Local structure. Zbl 0427.20010
Curtis, R. T.
1980
The maximal subgroups of $$M_{24}$$. Zbl 0364.20006
Curtis, R. T.
1977
A new combinatorial approach to $$M_{24}$$. Zbl 0321.05018
Curtis, R. T.
1976
On subgroups of $$\cdot 0$$. I: Lattice stabilizers. Zbl 0297.20028
Curtis, R. T.
1973
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### Cited by 1,333 Authors

 57 Tiep Pham Huu 48 Praeger, Cheryl Elisabeth 39 Li, Caiheng 33 Kondrat’ev, Anatoliĭ Semenovich 31 Wilson, Robert Arnott 29 Tong-Viet, Hung P. 25 Guralnick, Robert Michael 25 Khosravi, Behrooz 25 Navarro, Gabriel 25 Pan, Jiangmin 23 Moori, Jamshid 22 Revin, Danila Olegovitch 22 Rowley, Peter J. 21 Darafsheh, Mohammad Reza 21 Malle, Gunter 21 Spiga, Pablo 20 Burness, Timothy C. 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 Liebeck, Martin Walter 17 Yang, Yong 16 Khalili Asboei, Alireza 16 Lewis, Mark L. 16 Lu, Zaiping 16 Maslova, Natal’ya Vladimirovna 15 Curtis, Robert T. 15 Lucchini, Andrea 15 Shi, Wujie 15 Vdovin, Evgeniĭ Petrovich 14 Ivanov, Alexander A. 14 Koshitani, Shigeo 14 Maróti, Attila 14 Rodrigues, Bernardo Gabriel 13 Daneshkhah, Ashraf 13 Lam, Ching Hung 13 Li, Xianhua 13 Moghaddamfar, Ali Reza 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 Müller, Jürgen 12 O’Brien, Eamonn A. 12 Parker, Christopher W. 12 Pasini, Antonio 12 Ryba, Alexander J. E. 12 Saxl, Jan 12 Vasil’ev, Andreĭ Viktorovich 11 Griess, Robert L. jun. 11 Katz, Nicholas Michael 11 Liu, Yanjun 11 Moretó, Alexander 11 Stroth, Gernot 11 Zenkov, Viktor Ivanovich 10 Akhlaghi, Zeinab 10 Beltrán, Antonio Felip 10 Gorshkov, Il’ya Borisovich 10 Hiss, Gerhard 10 Kitazume, Masaaki 10 Shalev, Aner 10 Tyutyanov, Valentin Nikolaevich 10 Van Maldeghem, Hendrik J. 10 Yan, Yanxiong 9 Allcock, Daniel Jonathan 9 Baumeister, Barbara 9 Li, Jingjian 9 Ling, Bo 9 Parker, Chris W. 9 Prins, Abraham Love 9 Staroletov, Alexey Mikhailovich 9 Wang, Jie 9 Wiedorn, Corinna 9 Yoshiara, Satoshi 8 Ali, Faryad 8 Eaton, Charles William 8 Guo, Wenbin 8 Holt, Derek F. 8 Khosravi, Bahman 8 Khosravi, Behnam 8 Lytkina, Dar’ya Viktorovna 8 Marušič, Dragan 8 Momen, Zahra 8 Nosratpour, P. 8 Shpectorov, Sergey Viktorovich 8 Verret, Gabriel 8 Yin, Fugang 8 Zimmermann, Bruno P. 7 Basheer, Ayoub Basheer Mohammed 7 Bray, John N. 7 Devillers, Alice ...and 1,233 more Authors
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### Cited in 220 Serials

 374 Journal of Algebra 65 Communications in Algebra 61 Discrete Mathematics 54 Israel Journal of Mathematics 54 Journal of Combinatorial Theory. Series A 51 Journal of Group Theory 50 Proceedings of the Steklov Institute of Mathematics 49 Siberian Mathematical Journal 45 European Journal of Combinatorics 44 Journal of Pure and Applied Algebra 41 Archiv der Mathematik 39 Journal of Algebraic Combinatorics 33 Algebra and Logic 33 Journal of Algebra and its Applications 26 Transactions of the American Mathematical Society 25 Monatshefte für Mathematik 25 Designs, Codes and Cryptography 23 Proceedings of the American Mathematical Society 23 Journal of Symbolic Computation 22 Mathematische Zeitschrift 19 Advances in Mathematics 18 International Journal of Group Theory 17 Inventiones Mathematicae 16 Geometriae Dedicata 16 Rendiconti del Seminario Matematico della Università di Padova 13 Bulletin of the Australian Mathematical Society 13 Duke Mathematical Journal 13 Journal of Combinatorial Theory. Series B 13 Manuscripta Mathematica 13 Graphs and Combinatorics 13 Journal of Mathematical Sciences (New York) 13 Algebras and Representation Theory 13 Frontiers of Mathematics in China 12 Experimental Mathematics 11 Communications in Mathematical Physics 11 Sibirskie Èlektronnye Matematicheskie Izvestiya 11 Science China. Mathematics 10 Mathematical Notes 10 Rocky Mountain Journal of Mathematics 10 Acta Mathematica Sinica. English Series 9 Mathematics of Computation 9 Science in China. Series A 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Finite Fields and their Applications 9 Journal of Applied Mathematics and Computing 9 Ars Mathematica Contemporanea 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal of Number Theory 8 Mathematische Annalen 8 International Journal of Algebra and Computation 8 The Electronic Journal of Combinatorics 8 Open Mathematics 7 Applied Mathematics and Computation 6 Ukrainian Mathematical Journal 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Czechoslovak Mathematical Journal 6 Journal of Geometry 6 Memoirs of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Combinatorica 6 Journal of the American Mathematical Society 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 Journal of Linear and Topological Algebra 5 Michigan Mathematical Journal 5 Bulletin of the Iranian Mathematical Society 5 Transformation Groups 5 Representation Theory 5 Journal of High Energy Physics 5 Problemy Fiziki, Matematiki i Tekhniki 5 Forum of Mathematics, Sigma 5 Research in the Mathematical Sciences 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Beiträge zur Algebra und Geometrie 4 Journal für die Reine und Angewandte Mathematik 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal de Théorie des Nombres de Bordeaux 4 Annals of Mathematics. Second Series 4 LMS Journal of Computation and Mathematics 4 Journal of the European Mathematical Society (JEMS) 4 Advances in Geometry 4 Journal of the Australian Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Group Theory and Applications 3 Indian Journal of Pure & Applied Mathematics 3 Acta Mathematica 3 Annales de l’Institut Fourier 3 Journal of the Mathematical Society of Japan 3 Journal of Statistical Planning and Inference 3 Mathematica Slovaca 3 Nagoya Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Quaestiones Mathematicae 3 Acta Mathematica Hungarica 3 Revista Matemática Iberoamericana 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series ...and 120 more Serials
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### Cited in 42 Fields

 1,543 Group theory and generalizations (20-XX) 496 Combinatorics (05-XX) 141 Number theory (11-XX) 120 Geometry (51-XX) 92 Algebraic geometry (14-XX) 67 Information and communication theory, circuits (94-XX) 63 Nonassociative rings and algebras (17-XX) 35 Associative rings and algebras (16-XX) 31 Computer science (68-XX) 30 Field theory and polynomials (12-XX) 29 Quantum theory (81-XX) 26 Manifolds and cell complexes (57-XX) 23 Topological groups, Lie groups (22-XX) 21 Algebraic topology (55-XX) 16 Convex and discrete geometry (52-XX) 10 Functions of a complex variable (30-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Relativity and gravitational theory (83-XX) 6 Commutative algebra (13-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Differential geometry (53-XX) 4 $$K$$-theory (19-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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