Analogues of the Jordan-Holder theorem for transitive G-sets

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dc.creatorKuperberg, Greg
dc.creatorZieve, Michael
dc.date2007-12-26
dc.date.accessioned2026-07-07T08:51:20Z
dc.date.available2026-07-07T08:51:20Z
dc.descriptionLet G be a transitive group of permutations of a finite set X, and suppose that some element of G has at most two orbits on X. We prove that any two maximal chains of groups between G and a point-stabilizer of G have the same length, and the same sequence of relative indices between consecutive groups (up to permutation). We also deduce the same conclusion when G has a transitive quasi-Hamiltonian subgroup.
dc.identifierhttps://arxiv.org/abs/0712.4142
dc.identifierhttp://arxiv.org/abs/0712.4142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144902
dc.subjectGroup Theory
dc.subjectAlgebraic Geometry
dc.subject20E15
dc.titleAnalogues of the Jordan-Holder theorem for transitive G-sets
dc.typetext

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