18 citations · 44 across the 15 of their papers we have counts for
12 papers · 1 filter
Stallings foldings for rational subsets of automatic groups
Lucía Asencio-Martín, John R. Britnell, Andrew Duncan +2
Let be an automatic group with associated regular language . We describe a procedure for constructing an automaton which recognises elements of a given submonoid or rational…
On exceptional groups of order p^5
John R. Britnell, Neil Saunders, Tony Skyner
A finite group G is exceptional if it has a quotient Q whose minimal faithful permutation degree is greater than that of G. We say that Q is a distinguished quotient. The smallest…
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…
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.
Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
Azizollah Azad, John R. Britnell, Nick Gill
Let be a finite group, and an element of . A subgroup of is said to be {\it -nilpotent} if it is nilpotent, and has nilpotency class a…
Normal coverings of linear groups
John R. Britnell, Attila Maroti
For a non-cyclic finite group , let denote the smallest number of conjugacy classes of proper subgroups of needed to cover . Bubboloni, Praeger and Spiga, motivate…