Indices of maximal invariant subgroups and solvability of finite groups

DOI10.1007/S00009-019-1352-8zbMath1491.20045OpenAlexW4230583768MaRDI QIDQ2424119

Changguo Shao, Antonio Beltrán Felip

Publication date: 24 June 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/182870

zbMATH Keywords

finite groupsmaximal subgroupscoprime actiongroup action on groupssubgroup index

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28)

Related Items (4)

Some generalizations of Shao and Beltrán’s theorem ⋮ New conditions on maximal invariant subgroups that imply solubility ⋮ On finite groups in which some particular maximal invariant subgroups have indices a prime-power ⋮ Restrictions on maximal invariant subgroups implying solvability of finite groups

Cites Work

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• Finite groups with non-nilpotent maximal subgroups.
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• Subgroups of prime power index in a simple group
• The theory of finite groups. An introduction.
• Restrictions on maximal invariant subgroups implying solvability of finite groups
• On the number of invariant Sylow subgroups under coprime action
• Endliche Gruppen I

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