Intransitive Cartesian decompositions preserved by innately transitive permutation groups

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dc.creatorBaddeley, Robert W.
dc.creatorPraeger, Cheryl E.
dc.creatorSchneider, Csaba
dc.date2004-05-13
dc.date2004-06-22
dc.date.accessioned2026-07-07T05:08:12Z
dc.date.available2026-07-07T05:08:12Z
dc.descriptionWe 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 a decomposition. A consequence of this result is that if $G$ is an innately transitive subgroup of a wreath product in product action then the natural projection of $G$ into the top group has at most 2 orbits.
dc.descriptionto be submitted
dc.identifierhttps://arxiv.org/abs/math/0405241
dc.identifierhttp://arxiv.org/abs/math/0405241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71169
dc.subjectGroup Theory
dc.subject05C25, 05C90, 20B05, 20B15, 20B25, 20B35, 20D40
dc.titleIntransitive Cartesian decompositions preserved by innately transitive permutation groups
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