59 citations · 338 across the 95 of their papers we have counts for
5 papers · 2 filters
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…
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…
The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman groups
Collin Bleak, Peter Cameron, Yonah Maissel +2
We describe, through the use of Rubin's theorem, the automorphism groups of the Higman-Thompson groups as groups of specific homeomorphisms of Cantor spaces $\mathfrak{C}…
Lengths of words in transformation semigroups generated by digraphs
P. J. Cameron, A. Castillo-Ramirez, M. Gadouleau +1
Given a simple digraph on vertices (with ), there is a natural construction of a semigroup associated with . For any edge of , let $…