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- W4301715057 abstract "In this paper we study finite semiprimitive permutation groups, that is, groups in which each normal subgroup is transitive or semiregular. We 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, we classify finite semiprimitive groups that induce the alternating or symmetric group on the set of orbits of an intransitive normal subgroup." @default.
- W4301715057 created "2022-10-05" @default.
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- W4301715057 date "2018-06-03" @default.
- W4301715057 modified "2023-09-25" @default.
- W4301715057 title "Bounds for Finite Semiprimitive Permutation Groups: Order, Base Size, and Minimal Degree" @default.
- W4301715057 doi "https://doi.org/10.48550/arxiv.1806.00941" @default.
- W4301715057 hasPublicationYear "2018" @default.
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