2 papers
math.GR2026
On a conjecture of Peter Neumann on fixed points in permutation groups
Daniele Garzoni, Robert M. Guralnick, Martin W. Liebeck
We prove a conjecture of Peter Neumann from 1966, predicting that every finite non-regular primitive permutation group of degree contains an element fixing at least one point a…
math.GR2024
Conjugacy in finite classical groups
Giovanni De Franceschi, Martin W. Liebeck, E. A. O'Brien
Let be a classical group defined over a finite field. We consider the following fundamental problems concerning conjugacy in : 1. List a representative for each conjugacy cl…