On finite groups in which some particular maximal invariant subgroups have indices a prime-power

DOI10.1080/00927872.2023.2241558MaRDI QIDQ6178429

Jiangtao Shi, Wenjing Liu

Publication date: 18 January 2024

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

zbMATH Keywords

normalizernilpotentsolvablenon-nilpotent maximal invariant subgroupprime-power index

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

• Finite groups with non-nilpotent maximal subgroups.
• Über Produkte von nilpotenten Gruppen
• Restrictions on maximal invariant subgroups implying solvability of finite groups
• Indices of maximal invariant subgroups and solvability of finite groups
• A Note on Special Local 2-Nilpotent Groups and the Solvability of Finite Groups
• A note on finite groups with the indice of some maximal subgroups being primes

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