3 papers
math.CO2019
On edge-primitive 3-arc-transitive graphs
Michael Giudici, Carlisle S. H. King
This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle…
math.GR2018
On the finite simple images of free products of finite groups
Carlisle S. H. King
Given nontrivial finite groups and , not both of order 2, we prove that every finite simple group of sufficiently large rank is an image of the free product . To s…
math.GR2016
Generation of finite simple groups by an involution and an element of prime order
Carlisle S. H. King
We prove that every non-abelian finite simple group is generated by an involution and an element of prime order.