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

collaborators

5 papers

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.RT2025

Notes on Cohomological Finite Generation for Finite Group Schemes

Juan Omar Goméz, Chris J. Parker

These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Co…

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…