Structure, covers, and bounds of semiprimitive groups

Kyle Rosa

Research output: ThesisMaster's Thesis

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Abstract

In this thesis I study finite semiprimitve permutation groups, that is, groups in which each normal subgroup is transitive or semiregular. I give bounds on the order, base size, minimal degree, fixity, and chief length of an arbitrary finite semiprimitive group in terms of its degree. To establish these bounds, I classify finite sempiprimitive groups that induce the alternating or symmetric group on the set of orbits of an intransitive normal subgroup.
Original languageEnglish
QualificationMasters
Awarding Institution
  • The University of Western Australia
Thesis sponsors
Award date18 Sep 2018
DOIs
Publication statusUnpublished - 2018

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