30 citations · 32 across the 5 of their papers we have counts for
5 papers
Generalised Paley graphs with a product structure
Geoffrey Pearce, Cheryl E Praeger
A graph is Cartesian decomposable if it is isomorphic to a Cartesian product of (more than one) strictly smaller graphs, each of which has more than one vertex and admits no such d…
Basic coset geometries
Michael Giudici, Geoffrey Pearce, Cheryl E. Praeger
In earlier work we gave a characterisation of pregeometries which are `basic' (that is, admit no `non-degenerate' quotients) relative to two different kinds of quotient operations,…
Basic and degenerate pregeometries
Michael Giudici, Cai Heng Li, Geoffrey Pearce +1
We study pairs , where is a 'Buekenhout-Tits' pregeometry with all rank 2 truncations connected, and is transitive on the set of elements of e…
On imprimitive rank 3 permutation groups
Alice Devillers, Michael Giudici, Cai Heng Li +2
A classification is given of rank 3 group actions which are quasiprimitive but not primitive. There are two infinite families and a finite number of individual imprimitive examples…
Transitive decompositions of graphs and their links with geometry and origami
Geoffrey Pearce
A transitive decomposition of a graph is a partition of the edge or arc set giving a set of subgraphs which are preserved and permuted transitively by a group of automorphisms of t…