5 papers · 1 filter
Quasiprimitive groups and blow-up decompositions
Robert W. Baddeley, Cheryl E. Praeger, Csaba Schneider
The blow-up construction by L. G. Kovács has been a very useful tool to study embeddings of finite primitive permutation groups into wreath products in product action. In the prese…
Intransitive Cartesian decompositions preserved by innately transitive permutation groups
Robert W. Baddeley, Cheryl E. Praeger, Csaba Schneider
We study Cartesian decompositions of sets that are acted upon intransitively by innately transitive permutation groups. We prove that such groups have at most three orbits on such…
Innately transitive subgroups of wreath products in product action
Robert W. Baddeley, Cheryl E. Praeger, Csaba Schneider
A permutation group is innately transitive if it has a transitive minimal normal subgroup, which is referred to as a plinth. We study the class of finite, innately transitive permu…
Identifying Cartesian decompositions preserved by transitive permutation groups
Robert W. Baddeley, Cheryl E. Praeger, Csaba Schneider
Our aim is to describe the theory of Cartesian decompositions preserved by some member of a large family of finite transitive permutation groups called innatelytransitive groups.
Transitive simple subgroups of wreath products in product action
Cheryl E. Praeger, Robert W. Baddeley, Csaba Schneider
A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in t…