Some generalizations of Shao and Beltrán’s theorem

DOI10.1142/S0219498823500676OpenAlexW4200563683MaRDI QIDQ5880501

Jiakuan Lu, Boru Zhang, Wei Meng, Ming-Hui Li

Publication date: 3 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500676

zbMATH Keywords

coprime actionsupersolvable groupSylow tower

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)

Cites Work

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• Finite groups with non-nilpotent maximal subgroups.
• Restrictions on maximal invariant subgroups implying solvability of finite groups
• A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower
• Indices of maximal invariant subgroups and solvability of finite groups
• Sylow towers in groups where the index of every non-nilpotent maximal subgroup is prime
• Endliche Gruppen I

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