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math.GR2003
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…
math.GR2003
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.
math.GR2003
Groups of prime-power order with a small second derived quotient
Csaba Schneider
For odd primes we prove some structure theorems for finite -groups , such that and . Building on results of Blackburn and Hall, it is shown that $\l…