112 citations · 156 across the 38 of their papers we have counts for
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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…
A computer-based approach to the classification of nilpotent Lie algebras
Csaba Schneider
We adopt the -group generation algorithm to classify small-dimensional nilpotent Lie algebras over small fields. Using an implementation of this algorithm, we list the nilpotent…
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…
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…