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Timothy C. Burness

math.GRmath.RTBasesFinite groupsmath.COPrimitive groups

On Valency

published · living versions
W_n85ys3x8·v1 · currentpublished
Primitive flag-transitive generalized quadrangles
with Tao Feng, Jianbing Lu
1 version

Preprints & journals

55 papers in the corpus · 2013–2026
On second maximal subgroups of finite groups2609.03911v1 · Timothy C. Burness, Hangyang Meng2026 · 0 citationsarXiv
On the regularity of irreducible subgroups of finite classical groups2607.03307v1 · Timothy C. Burness, Lei Wang2026 · 0 citationsarXiv
On the intersections of nilpotent subgroups in simple groups2508.03479v2 · Timothy C. Burness, Hong Yi Huang2025 · 0 citationsarXiv
On the intersections of Sylow subgroups in almost simple groups2506.19745v3 · Timothy C. Burness, Hong Yi Huang2025 · 2 citationsarXiv
On the depth of subgroups of simple groups2503.23845v2 · Timothy C. Burness2025 · 1 citationarXiv
On fixed-point-free involutions in actions of finite exceptional groups of Lie type2503.03423v2 · Timothy C. Burness, Mikko Korhonen2025 · 1 citationJ. Lond. Math. Soc., 112 (2025), no. 3, Paper No. e70263, 69 pp
On derangements in simple permutation groups2409.01043v2 · Timothy C. Burness, Marco Fusari2024 · 0 citationsarXiv
On the regularity number of a finite group and other base-related invariants2405.15300v2 · Marina Anagnostopoulou-Merkouri, Timothy C. Burness2024 · 4 citationsarXiv
On the maximal overgroups of Sylow subgroups of finite groups2307.13976v2 · Barbara Baumeister, Timothy C. Burness, Robert M. Guralnick et al.2023 · 7 citationsarXiv
Strongly Base-Two Groups.37621861 · Burness, Timothy C, Guralnick, Robert M2023 · 2 citationsVietnam journal of mathematics. 2023;51(3):657-683
Normalisers of maximal tori and a conjecture of Vdovin2207.09495v2 · Timothy C. Burness, Adam R. Thomas2022 · 1 citationarXiv
On the generation of simple groups by Sylow subgroups2204.04311v2 · Timothy C. Burness, Robert M. Guralnick2022 · 0 citationsarXiv
On base sizes for primitive groups of product type2202.02816v2 · Timothy C. Burness, Hong Yi Huang2022 · 2 citationsarXiv
On the commuting probability of p-elements in a finite group2112.08681v2 · Timothy C. Burness, Robert M. Guralnick, Alexander Moret'o et al.2021 · 14 citationsAlg. Number Th. 17 (2023) 1209-1229
Fixed point ratios for finite primitive groups and applications2112.03967v2 · Timothy C. Burness, Robert M. Guralnick2021 · 13 citationsarXiv
On the soluble graph of a finite group2111.05697v2 · Timothy C. Burness, Andrea Lucchini, Daniele Nemmi2021 · 14 citationsarXiv
Topological generation of simple algebraic groups2108.06592v2 · Timothy C. Burness, Spencer Gerhardt, Robert M. Guralnick2021 · 1 citationarXiv
On the classification of extremely primitive affine groups2107.04302v2 · Timothy C. Burness, Melissa Lee2021 · 3 citationsarXiv
On the Saxl graphs of primitive groups with soluble stabilisers2105.11861v2 · Timothy C. Burness, Hong Yi Huang2021 · 5 citationsarXiv
On soluble subgroups of sporadic groups2105.00718v2 · Timothy C. Burness2021 · 8 citationsarXiv
Permutation groups with restricted stabilizers2012.12818v3 · Timothy C. Burness, Aner Shalev2020 · 0 citationsarXiv
Almost elusive permutation groups2010.02652v2 · Timothy C. Burness, Emily V. Hall2020 · 1 citationarXiv
Finite groups, minimal bases and the intersection number2009.10137v2 · Timothy C. Burness, Martino Garonzi, Andrea Lucchini2020 · 11 citationsarXiv
On the involution fixity of simple groups2007.01354v2 · Timothy C. Burness, Elisa Covato2020 · 1 citationarXiv
Base sizes for primitive groups with soluble stabilisers2006.10510v3 · Timothy C. Burness2020 · 1 citationAlg. Number Th. 15 (2021) 1755-1807
The spread of a finite group2006.01421v2 · Timothy C. Burness, Robert M. Guralnick, Scott Harper2020 · 6 citationsarXiv
The classification of extremely primitive groups2005.11553v2 · Timothy C. Burness, Adam R. Thomas2020 · 3 citationsarXiv
A note on extremely primitive affine groups2005.11554v2 · Timothy C. Burness, Adam R. Thomas2020 · 1 citationarXiv
On solvable factors of almost simple groups1910.00644v2 · Timothy C. Burness, Cai Heng Li2019 · 2 citationsarXiv
Topological generation of exceptional algebraic groups1909.02752v2 · Timothy C. Burness, Spencer Gerhardt, Robert M. Guralnick2019 · 1 citationarXiv
On the minimal dimension of a finite simple group (with an appendix by T.C. Burness and R.M. Guralnick)1903.09607v2 · Timothy C. Burness, Martino Garonzi, Andrea Lucchini2019 · 1 citationarXiv
Finite groups, 2-generation and the uniform domination number1810.12076v2 · Timothy C. Burness, Scott Harper2018 · 1 citationarXiv
The length and depth of compact Lie groups1805.09893v2 · Timothy C. Burness, Martin W. Liebeck, Aner Shalev2018 · 4 citationsarXiv
On base sizes for almost simple primitive groups1803.10955v2 · Timothy C. Burness2018 · 0 citationsarXiv
Irreducible subgroups of simple algebraic groups - a survey1803.01174v2 · Timothy C. Burness, Donna M. Testerman2018 · 1 citationarXiv
On the length and depth of finite groups (with an appendix by D.R. Heath-Brown)1802.02194v2 · Timothy C. Burness, Martin W. Liebeck, Aner Shalev2018 · 9 citationsarXiv
The length and depth of algebraic groups1712.08214v3 · Timothy C. Burness, Martin W. Liebeck, Aner Shalev2017 · 1 citationarXiv
Simple groups, generation and probabilistic methods1710.10434v1 · Timothy C. Burness2017 · 10 citationsarXiv
On the uniform domination number of a finite simple group1710.07113v2 · Timothy C. Burness, Scott Harper2017 · 0 citationsarXiv
The depth of a finite simple group1708.00825v3 · Timothy C. Burness, Martin W. Liebeck, Aner Shalev2017 · 7 citationsarXiv
On the involution fixity of exceptional groups of Lie type1707.03562v2 · Timothy C. Burness, Adam R. Thomas2017 · 0 citationsarXiv
Simple groups, fixed point ratios and applications1707.03564v1 · Timothy C. Burness2017 · 22 citationsarXiv
A1A_1-type subgroups containing regular unipotent elements1706.05212v2 · Timothy C. Burness, Donna M. Testerman2017 · 0 citationsarXiv
Generation of second maximal subgroups and the existence of special primes1611.06196v1 · Timothy C. Burness, Martin W. Liebeck, Aner Shalev2016 · 3 citationsarXiv
Locally elusive classical groups1609.06452v2 · Timothy C. Burness, Michael Giudici2016 · 5 citationsarXiv
Permutation groups and derangements of odd prime order1602.07617v2 · Timothy C. Burness, Michael Giudici2016 · 1 citationarXiv
On irreducible subgroups of simple algebraic groups1412.3130v2 · Timothy C. Burness, Claude Marion, Donna M. Testerman2014 · 2 citationsarXiv
Primitive permutation groups and derangements of prime power order1410.5799v2 · Timothy C. Burness, Hung P. Tong-Viet2014 · 9 citationsarXiv
Derangements in primitive permutation groups, with an application to character theory1403.7666v1 · Timothy C. Burness, Hung P. Tong-Viet2014 · 16 citationsarXiv
Career total: 95 works. 55 are in this corpus.Showing the 50 most recent.

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