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## Burness, Timothy C.

Compute Distance To:
 Author ID: burness.timothy-c Published as: Burness, Timothy C.; Burness, Timothy External Links: MGP
 Documents Indexed: 48 Publications since 2003, including 3 Books
all top 5

#### Co-Authors

 9 single-authored 7 Liebeck, Martin Walter 7 Shalev, Aner 5 Giudici, Michael 5 Guralnick, Robert Michael 4 Testerman, Donna M. 3 Harper, Scott 3 Saxl, Jan 3 Seress, Ákos 2 Covato, Elisa 2 Ghandour, Soumaïa 2 Marion, Claude 2 Praeger, Cheryl Elisabeth 2 Thomas, Adam R. 2 Tong-Viet, Hung P. 2 Wilson, Robert Arnott 1 Alavi, Seyed Hassan 1 Crestani, Eleonora 1 Garonzi, Martino 1 Gerhardt, Spencer 1 Guest, Simon D. 1 Li, Caiheng 1 Lucchini, Andrea 1 O’Brien, Eamonn A. 1 Scott, Stuart D.
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#### Serials

 8 Journal of Algebra 4 Israel Journal of Mathematics 3 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 International Journal of Algebra and Computation 1 Journal of Algebraic Combinatorics 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Australian Mathematical Society Lecture Series

#### Fields

 48 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 349 times in 142 Documents Cited by Year
Base sizes for simple groups and a conjecture of Cameron. Zbl 1179.20002
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2009
Fixed point ratios in actions of finite classical groups. II. Zbl 1128.20004
Burness, Timothy C.
2007
Base sizes for sporadic simple groups. Zbl 1216.20008
Burness, Timothy C.; O’Brien, E. A.; Wilson, Robert A.
2010
Classical groups, derangements and primes. Zbl 1372.11001
Burness, Timothy C.; Giudici, Michael
2016
On base sizes for symmetric groups. Zbl 1222.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2011
On base sizes for actions of finite classical groups. Zbl 1128.20005
Burness, Timothy C.
2007
Large subgroups of simple groups. Zbl 1308.20012
Alavi, Seyed Hassan; Burness, Timothy C.
2015
Fixed point ratios in actions of finite classical groups. IV. Zbl 1133.20004
Burness, Timothy C.
2007
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2017
Fixed point ratios in actions of finite classical groups. III. Zbl 1133.20003
Burness, Timothy C.
2007
Base sizes for $$\mathcal S$$-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2014
On the uniform spread of almost simple linear groups. Zbl 1271.20012
Burness, Timothy C.; Guest, Simon
2013
Fixed point ratios in actions of finite classical groups. I. Zbl 1128.20003
Burness, Timothy C.
2007
Fixed point spaces in actions of classical algebraic groups. Zbl 1071.20040
Burness, Timothy C.
2004
Irreducible geometric subgroups of classical algebraic groups. Zbl 1376.20052
Burness, Timothy C.; Ghandour, Soumaïa; Testerman, Donna M.
2016
Derangements in primitive permutation groups, with an application to character theory. Zbl 1335.20001
Burness, Timothy C.; Tong-Viet, Hung P.
2015
On Pyber’s base size conjecture. Zbl 1316.20001
Burness, Timothy C.; Seress, Ákos
2015
Generation and random generation: from simple groups to maximal subgroups. Zbl 1292.20013
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2013
The depth of a finite simple group. Zbl 06852825
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2018
Irreducible almost simple subgroups of classical algebraic groups. Zbl 1365.20043
Burness, Timothy C.; Ghandour, Soumaïa; Marion, Claude; Testerman, Donna M.
2015
On the involution fixity of exceptional groups of Lie type. Zbl 06902196
Burness, Timothy C.; Thomas, Adam R.
2018
Prime order derangements in primitive permutation groups. Zbl 1248.20004
Burness, Timothy C.; Giudici, Michael; Wilson, Robert A.
2011
Extremely primitive classical groups. Zbl 1260.20003
Burness, Timothy C.; Praeger, Cheryl E.; Seress, Ákos
2012
Extremely primitive sporadic and alternating groups. Zbl 1264.20001
Burness, Timothy C.; Praeger, Cheryl E.; Seress, Ákos
2012
On the uniform domination number of a finite simple group. Zbl 07076400
Burness, Timothy C.; Harper, Scott
2019
Permutation groups and derangements of odd prime order. Zbl 1397.20004
Burness, Timothy C.; Giudici, Michael
2017
The length and depth of algebraic groups. Zbl 07051980
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2019
On base sizes for almost simple primitive groups. Zbl 1427.20001
Burness, Timothy C.
2018
Finite groups, 2-generation and the uniform domination number. Zbl 1464.20011
Burness, Timothy C.; Harper, Scott
2020
On the generating graph of direct powers of a simple group. Zbl 1283.20017
Burness, Timothy C.; Crestani, Eleonora
2013
Fixed point spaces in primitive actions of simple algebraic groups. Zbl 1047.20036
Burness, Timothy C.
2003
On the prime graph of simple groups. Zbl 1323.20023
Burness, Timothy C.; Covato, Elisa
2015
Generation of second maximal subgroups and the existence of special primes. Zbl 1428.20017
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2017
On the number of prime order subgroups of finite groups. Zbl 1191.20015
Burness, Timothy C.; Scott, Stuart D.
2009
Simple groups, fixed point ratios and applications. Zbl 1430.20024
Burness, Timothy C.
2018
On the minimal dimension of a finite simple group. Zbl 07172384
Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea
2020
The length and depth of compact Lie groups. Zbl 07179303
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2020
On irreducible subgroups of simple algebraic groups. Zbl 1373.20062
Burness, Timothy C.; Marion, Claude; Testerman, Donna M.
2017
Primitive permutation groups and derangements of prime power order. Zbl 1345.20002
Burness, Timothy C.; Tong-Viet, Hung P.
2016
On the Saxl graph of a permutation group. Zbl 07167592
Burness, Timothy C.; Giudici, Michael
2020
Topological generation of exceptional algebraic groups. Zbl 07202990
Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M.
2020
Locally elusive classical groups. Zbl 06897851
Burness, Timothy C.; Giudici, Michael
2018
The spread of a finite group. Zbl 07331717
Burness, Timothy; Guralnick, Robert; Harper, Scott
2021
The spread of a finite group. Zbl 07331717
Burness, Timothy; Guralnick, Robert; Harper, Scott
2021
Finite groups, 2-generation and the uniform domination number. Zbl 1464.20011
Burness, Timothy C.; Harper, Scott
2020
On the minimal dimension of a finite simple group. Zbl 07172384
Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea
2020
The length and depth of compact Lie groups. Zbl 07179303
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2020
On the Saxl graph of a permutation group. Zbl 07167592
Burness, Timothy C.; Giudici, Michael
2020
Topological generation of exceptional algebraic groups. Zbl 07202990
Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M.
2020
On the uniform domination number of a finite simple group. Zbl 07076400
Burness, Timothy C.; Harper, Scott
2019
The length and depth of algebraic groups. Zbl 07051980
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2019
The depth of a finite simple group. Zbl 06852825
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2018
On the involution fixity of exceptional groups of Lie type. Zbl 06902196
Burness, Timothy C.; Thomas, Adam R.
2018
On base sizes for almost simple primitive groups. Zbl 1427.20001
Burness, Timothy C.
2018
Simple groups, fixed point ratios and applications. Zbl 1430.20024
Burness, Timothy C.
2018
Locally elusive classical groups. Zbl 06897851
Burness, Timothy C.; Giudici, Michael
2018
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2017
Permutation groups and derangements of odd prime order. Zbl 1397.20004
Burness, Timothy C.; Giudici, Michael
2017
Generation of second maximal subgroups and the existence of special primes. Zbl 1428.20017
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2017
On irreducible subgroups of simple algebraic groups. Zbl 1373.20062
Burness, Timothy C.; Marion, Claude; Testerman, Donna M.
2017
Classical groups, derangements and primes. Zbl 1372.11001
Burness, Timothy C.; Giudici, Michael
2016
Irreducible geometric subgroups of classical algebraic groups. Zbl 1376.20052
Burness, Timothy C.; Ghandour, Soumaïa; Testerman, Donna M.
2016
Primitive permutation groups and derangements of prime power order. Zbl 1345.20002
Burness, Timothy C.; Tong-Viet, Hung P.
2016
Large subgroups of simple groups. Zbl 1308.20012
Alavi, Seyed Hassan; Burness, Timothy C.
2015
Derangements in primitive permutation groups, with an application to character theory. Zbl 1335.20001
Burness, Timothy C.; Tong-Viet, Hung P.
2015
On Pyber’s base size conjecture. Zbl 1316.20001
Burness, Timothy C.; Seress, Ákos
2015
Irreducible almost simple subgroups of classical algebraic groups. Zbl 1365.20043
Burness, Timothy C.; Ghandour, Soumaïa; Marion, Claude; Testerman, Donna M.
2015
On the prime graph of simple groups. Zbl 1323.20023
Burness, Timothy C.; Covato, Elisa
2015
Base sizes for $$\mathcal S$$-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2014
On the uniform spread of almost simple linear groups. Zbl 1271.20012
Burness, Timothy C.; Guest, Simon
2013
Generation and random generation: from simple groups to maximal subgroups. Zbl 1292.20013
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2013
On the generating graph of direct powers of a simple group. Zbl 1283.20017
Burness, Timothy C.; Crestani, Eleonora
2013
Extremely primitive classical groups. Zbl 1260.20003
Burness, Timothy C.; Praeger, Cheryl E.; Seress, Ákos
2012
Extremely primitive sporadic and alternating groups. Zbl 1264.20001
Burness, Timothy C.; Praeger, Cheryl E.; Seress, Ákos
2012
On base sizes for symmetric groups. Zbl 1222.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
2011
Prime order derangements in primitive permutation groups. Zbl 1248.20004
Burness, Timothy C.; Giudici, Michael; Wilson, Robert A.
2011
Base sizes for sporadic simple groups. Zbl 1216.20008
Burness, Timothy C.; O&rsquo;Brien, E. A.; Wilson, Robert A.
2010
Base sizes for simple groups and a conjecture of Cameron. Zbl 1179.20002
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2009
On the number of prime order subgroups of finite groups. Zbl 1191.20015
Burness, Timothy C.; Scott, Stuart D.
2009
Fixed point ratios in actions of finite classical groups. II. Zbl 1128.20004
Burness, Timothy C.
2007
On base sizes for actions of finite classical groups. Zbl 1128.20005
Burness, Timothy C.
2007
Fixed point ratios in actions of finite classical groups. IV. Zbl 1133.20004
Burness, Timothy C.
2007
Fixed point ratios in actions of finite classical groups. III. Zbl 1133.20003
Burness, Timothy C.
2007
Fixed point ratios in actions of finite classical groups. I. Zbl 1128.20003
Burness, Timothy C.
2007
Fixed point spaces in actions of classical algebraic groups. Zbl 1071.20040
Burness, Timothy C.
2004
Fixed point spaces in primitive actions of simple algebraic groups. Zbl 1047.20036
Burness, Timothy C.
2003
all top 5

#### Cited by 130 Authors

 36 Burness, Timothy C. 11 Praeger, Cheryl Elisabeth 10 Liebeck, Martin Walter 9 Giudici, Michael 9 Lucchini, Andrea 8 Guralnick, Robert Michael 8 Spiga, Pablo 7 Alavi, Seyed Hassan 6 Guest, Simon D. 6 Harper, Scott 6 Shalev, Aner 5 Bamberg, John 5 Li, Caiheng 5 O’Brien, Eamonn A. 4 Daneshkhah, Ashraf 4 Fawcett, Joanna B. 4 Halasi, Zoltán 4 Maróti, Attila 4 Saxl, Jan 4 Wilson, Robert Arnott 3 Bayat, Mohsen 3 Cameron, Peter Jephson 3 Cavallin, Mikaël 3 Garibaldi, Skip 3 Garonzi, Martino 3 Lee, Melissa 3 Marion, Claude 3 Roney-Dougal, Colva M. 3 Seress, Ákos 3 Testerman, Donna M. 3 Tiep Pham Huu 3 Tong-Viet, Hung P. 3 Zhou, Shenglin 2 Covato, Elisa 2 Duyan, Hülya 2 Gerhardt, Spencer 2 Levy, Dan 2 Madanha, Sesuai Yash 2 Morgan, Luke 2 Morris, Joy 2 Podoski, Károly 2 Popiel, Tomasz 2 Swartz, Eric 2 Thomas, Adam R. 2 Vdovin, Evgeniĭ Petrovich 2 Verret, Gabriel 2 Xia, Binzhou 2 Zhan, Xiaoqin 1 Abdollahi, Alireza 1 Acciarri, Cristina 1 Arezoomand, Majid 1 Baĭkalov, Anton Andreevich 1 Ballester, Bolinches Adolfo 1 Bate, Michael Edward 1 Bentz, Wolfram 1 Bhunia, Sushil 1 Bors, Alexander 1 Choulaki, Jalal 1 Crestani, Eleonora 1 Devillers, Alice 1 Dong, Shuqin 1 Esteban-Romero, Ramón 1 Farzaneh, Yousof 1 Freedman, Saul D. 1 Garzoni, Daniele 1 Geranios, Haralampos 1 Ghandour, Soumaïa 1 Glasby, Stephen Peter 1 Gonshaw, Samuel 1 Goodman, Pip 1 Guan, Haiyan 1 Herpel, Sebastian 1 Héthelyi, László 1 Horváth, Erzsébet 1 Jiménez Seral, Paz 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Khosravi, Behrooz 1 King, Carlisle S. H. 1 Kleshchev, Alexander S. 1 Korhonen, Mikko 1 Laison, Joshua Douglass 1 Lewis, Mark L. 1 Li, Rongrong 1 Liang, Hongxue 1 Malev, Sergey 1 Martin, Benjamin M. S. 1 Maslova, Natal’ya Vladimirovna 1 McNicholas, Erin Mari 1 Meagher, Karen 1 Meng, Hangyang 1 Miraftab, Babak 1 Morotti, Lucia 1 Müller, Jürgen 1 Muzychuk, Mikhail E. 1 Nakano, Daniel K. 1 Neunhöffer, Max 1 Niemeyer, Alice C. 1 Nikandish, Reza 1 Noeske, Felix 1 Okhovat, Narges ...and 30 more Authors
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#### Cited in 49 Serials

 28 Journal of Algebra 11 Transactions of the American Mathematical Society 8 Journal of Group Theory 5 Communications in Algebra 5 Israel Journal of Mathematics 5 Advances in Mathematics 5 Journal of Combinatorial Theory. Series A 5 Journal of Algebra and its Applications 4 Discrete Mathematics 4 Archiv der Mathematik 4 Journal of Algebraic Combinatorics 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 The Electronic Journal of Combinatorics 2 Bulletin of the Australian Mathematical Society 2 Algebra and Logic 2 Journal of Pure and Applied Algebra 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 International Journal of Algebra and Computation 2 Designs, Codes and Cryptography 2 Transformation Groups 2 Journal of the Australian Mathematical Society 2 Proceedings of the Steklov Institute of Mathematics 2 Ars Mathematica Contemporanea 2 International Journal of Group Theory 2 Forum of Mathematics, Sigma 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Graphs and Combinatorics 1 Linear Algebra and its Applications 1 Finite Fields and their Applications 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory 1 Transactions on Combinatorics 1 Algebraic Combinatorics
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#### Cited in 8 Fields

 134 Group theory and generalizations (20-XX) 38 Combinatorics (05-XX) 8 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 5 Geometry (51-XX) 4 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 2 Number theory (11-XX)