Timothy C. Burness

activity

20132026

most citedOn the commuting probability of p-elements in a finite group

12 citations · 48 across the 40 of their papers we have counts for

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Showing 2013 · math.GRShow all

5 papers · 2 filters

math.GR2013

Irreducible geometric subgroups of classical algebraic groups

Timothy C. Burness, Soumaia Ghandour, Donna M. Testerman

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p \geq 0$ with natural module $W$ . Let $H$ be a closed subgroup of $G$ and le…

math.GR2013★ 1 cited

Large subgroups of simple groups

S. Hassan Alavi, Timothy C. Burness

Let $G$ be a finite group. A proper subgroup $H$ of $G$ is said to be large if the order of $H$ satisfies the bound $∣ H ∣^{3} \geq ∣ G ∣$ . In this note we determine all the large maximal…

math.GR2013★ 3 cited

On base sizes for algebraic groups

Timothy Burness, Robert Guralnick, Jan Saxl

Let $G$ be a permutation group on a set $Ω$ . A subset of $Ω$ is a base for $G$ if its pointwise stabilizer is trivial; the base size of $G$ is the minimal cardinality of a base. In…

math.GR2013

Irreducible almost simple subgroups of classical algebraic groups

Timothy Burness, Soumaia Ghandour, Claude Marion +1

Let G be a simple classical algebraic group over an algebraically closed field K of characteristic $p \geq 0$ with natural module W. Let H be a closed subgroup of G and let V be a n…

math.GR2013

On Pyber's base size conjecture

Timothy Burness, Ákos Seress

Let $G$ be a permutation group on a finite set $Ω$ . A subset $B \subseteq Ω$ is a base for $G$ if the pointwise stabilizer of $B$ in $G$ is trivial. The base size of $G$ , denoted $…