John R. Britnell

activity

20052026

most citedThe probability that a pair of elements of a finite group are conjugate

18 citations · 44 across the 15 of their papers we have counts for

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Showing 2013 · math.GRShow all

3 papers · 2 filters

math.GR2013

On types of matrices and centralizers of matrices and permutations

John R. Britnell, Mark Wildon

It is known that that the centralizer of a matrix over a finite field depends, up to conjugacy, only on the type of the matrix, in the sense defined by J. A. Green. In this paper a…

math.GR2013

Perfect commuting graphs

John R. Britnell, Nick Gill

We classify the finite quasisimple groups whose commuting graph is perfect and we give a general structure theorem for finite groups whose commuting graph is perfect.

math.GR2013★ 5 cited

Nilpotent covers and non-nilpotent subsets of finite groups of Lie type

Azizollah Azad, John R. Britnell, Nick Gill

Let $G$ be a finite group, and $c$ an element of $Z \cup {\infty}$ . A subgroup $H$ of $G$ is said to be {\it $c$ -nilpotent} if it is nilpotent, and has nilpotency class a…