Second maximal invariant subgroups and solubility of finite groups

DOI10.1007/S40304-021-00279-YOpenAlexW4309715245MaRDI QIDQ6199721

Changguo Shao, Antonio Beltrán Felip

Publication date: 28 February 2024

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-021-00279-y

zbMATH Keywords

coprime actioninvariant subgroupsecond maximal subgrouptrivial intersection subgroup

Mathematics Subject Classification ID

Maximal subgroups (20E28) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

New conditions on maximal invariant subgroups that imply solubility

Cites Work

• Invariant blocks under coprime actions
• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• Trivial intersection groups
• Actions with nilpotent fixed point subgroup
• The theory of finite groups. An introduction.
• Restrictions on maximal invariant subgroups implying solvability of finite groups
• Invariant TI-subgroups and structure of finite groups
• Invariant class sizes and solvability of finite groups under coprime action
• Finite groups with abelian second maximal subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
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• Unnamed Item
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