Invariant complements normalized by the fixed point subgroup

DOI10.1016/j.jalgebra.2021.11.046OpenAlexW4200483505MaRDI QIDQ2068175

Antonio Beltrán Felip

Publication date: 19 January 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/196691

zbMATH Keywords

finite simple groupscoprime actionnormal \(p\)-complementsFrobenius \(p\)-nilpotency criterion

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)

Cites Work

• Subgroups of prime power index in a simple group
• Actions and invariant character degrees. III
• The theory of finite groups. An introduction.
• A class number free criterion for Catalan's conjecture.
• On the influence of the fixed points of an automorphism to the structure of a group
• On the number of invariant Sylow subgroups under coprime action
• Endliche Gruppen I
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