59 citations · 338 across the 95 of their papers we have counts for
9 papers · 1 filter
Primitive groups, road closures, and idempotent generation
João Araújo, Peter J. Cameron
We are interested in semigroups of the form , where is a permutation group of degree and a non-permutation on the domain of . A theore…
Imprimitive Permutations in Primitive Groups
J. Araújo, J. P. Araújo, P. J. Cameron +3
The goal of this paper is to study primitive groups that are contained in the union of maximal (in the symmetric group) imprimitive groups. The study of types of permutations that…
Algebraic properties of chromatic roots
Peter J. Cameron, Kerri Morgan
A \emph{chromatic root} is a root of the chromatic polynomial of a graph. Any chromatic root is an algebraic integer. Much is known about the location of chromatic roots in the rea…
Generating sets of finite groups
Peter J. Cameron, Andrea Lucchini, Colva M. Roney-Dougal
We investigate the extent to which the exchange relation holds in finite groups . We define a new equivalence relation , where two elements are equivalent i…
Infinitely many reducts of homogeneous structures
Bertalan Bodor, Peter J. Cameron, Csaba Szabó
It is shown that the countably infinite dimensional pointed vector space (the vector space equipped with a constant) over a finite field has infinitely many first order definable r…
Triple arrays from difference sets
Tomas Nilson, Peter J. Cameron
This paper addresses the question whether triple arrays can be constructed from Youden squares developed from difference sets. We prove that if the difference set is abelian, then…