2002/10/04 by Cheryl E. Praeger, Praeger, Cheryl E., Robert W. Baddeley +3
Computer Science · Mathematics · #20B05 #20B15 #20B35 #20B99 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.CO #math.GR #msc:20B05 #msc:20B15 #msc:20B35 #msc:20B99 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0210057
Submitted
openalex publication_date 2002/10/04 · arxiv created 2003/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 this paper. This remarkable conclusion is reached after a definition and detailed examination of `Cartesian decompositions' of the permuted set, relating them to certain `Cartesian systemsof subgroups'. These concepts, and the bijective connections between them, are explored in greater generality, with specific future applications in mind.