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math.GR2004
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…
math.GR2004
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…
math.GR2004
Three types of inclusions of innately transitive permutation groups into wreath products in product action
Cheryl E. Praeger, Csaba Schneider
A permutation group is innately transitive if it has a transitive minimal normal subgroup, and this subgroup is called a plinth. In this paper we study three special types of inclu…