Chris Parker

activity

20102026

most citedGeneration of finite simple groups with an application to groups acting on Beauville surfaces

11 citations · 11 across the 5 of their papers we have counts for

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math.GR2026

The Gill-Guillot commuting graph for sporadic and related groups

David A. Craven, Coen del Valle, Chris Parker

Let $G$ be a finite group and $C$ a normal subset of $G$ . The Gill-Guillot graph has vertex set $C$ with distinct $x, y \in C$ adjacent if and only if $…

math.GR2019

The local structure theorem, the non-characteristic 2 case

Chris Parker, Gernot Stroth

Let $p$ be a prime, $G$ a finite $K_{p}$ -group, $S$ a Sylow $p$ -subgroup of $G$ and $Q$ be a large subgroup of $G$ in $S$ . The aim of the Local Structure Theorem is to prov…

math.GR2013

The diameter of the commuting graph of a finite group with trivial centre

G. L. Morgan, C. W. Parker

The commuting graph of a finite group with trivial centre is examined. It is shown that the connected components of the commuting graph have diameter at most 10.

math.GR2010★ 11 cited

Generation of finite simple groups with an application to groups acting on Beauville surfaces

Ben Fairbairn, Kay Magaard, Christopher Parker

We develop theorems which produce a multitude of hyperbolic triples for the finite classical groups. We apply these theorems to prove that every quasisimple group except Alt(5) and…