30 citations · 276 across the 127 of their papers we have counts for
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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.
Permutation groups and normal subgroups
Cheryl E. Praeger
Various descending chains of subgroups of a finite permutation group can be used to define a sequence of `basic' permutation groups that are analogues of composition factors for ab…