19 citations · 85 across the 30 of their papers we have counts for
31 papers
The Gill-Guillot commuting graph for sporadic and related groups
David A. Craven, Coen del Valle, Chris Parker
Let be a finite group and a normal subset of . The Gill-Guillot graph has vertex set with distinct adjacent if and only if $…
The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups
David A. Craven
The Ingleton inequality first appeared in matroid theory, where Ingleton proved in 1971 that every rank function coming from a representable matroid on four subsets satisfies a par…
On the irreducible character degrees of symmetric groups and their multiplicities
David A. Craven
We consider problems concerning the largest degrees of irreducible characters of symmetric groups, and the multiplicities of character degrees of symmetric groups. Using evidence f…
Minimal cover groups
Peter J. Cameron, David Craven, Hamid Reza Dorbidi +2
Let be a set of finite groups. A finite group is called an \emph{-cover} if every group in is isomorphic to a subgroup of . An $\mat…
On the Maximal Subgroups of and Related Almost Simple Groups
David A. Craven
This paper almost classifies the maximal subgroups of for general a power of a prime . Only four potential maximal subgroups are missing: (unknown for $p…
An Ennola duality for subgroups of groups of Lie type
David A. Craven
We develop a theory of Ennola duality for subgroups of finite groups of Lie type, relating subgroups of twisted and untwisted groups of the same type. Roughly speaking, one finds t…