24 citations · 93 across the 30 of their papers we have counts for
4 papers · 2 filters
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…
A note on the Weiss conjecture
Nick Gill
Let be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a par…
Quasirandom group actions
Nick Gill
Let be a finite group acting transitively on a set . We study what it means for this action to be {\it quasirandom}, thereby generalizing Gowers' study of quasirandomness in…