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 language | English |
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Qualification | Masters |
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Award date | 18 Sept 2018 |
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Publication status | Unpublished - 2018 |