Transitive simple subgroups of wreath products in product action

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dc.creatorPraeger, Cheryl E.
dc.creatorBaddeley, Robert W.
dc.creatorSchneider, Csaba
dc.date2002-10-04
dc.date2003-03-04
dc.date.accessioned2026-07-07T04:51:37Z
dc.date.available2026-07-07T04:51:37Z
dc.descriptionA 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.
dc.descriptionSubmitted
dc.identifierhttps://arxiv.org/abs/math/0210057
dc.identifierhttp://arxiv.org/abs/math/0210057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65171
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20B05, 20B15, 20B35, 20B99
dc.titleTransitive simple subgroups of wreath products in product action
dc.typetext

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