The finite groups with IC-property of subgroups

DOI10.1080/00927872.2021.1999462zbMath1505.20011OpenAlexW3213216557MaRDI QIDQ5067679

Xianhua Li, Yaxin Gao

Publication date: 4 April 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1999462

zbMATH Keywords

finite groupSylow subgroup\(p\)-nilpotent\(IC \Phi s\)-subgroup

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

• Unnamed Item
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• On minimal non-supersoluble groups.
• Finite soluble groups
• Subgroups permutable with all Sylow subgroups
• Finite groups with generalized Ore supplement conditions for primary subgroups.
• On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups.
• Some Conditions Under which a Finite Group Belongs to a Baer-Local Formation
• On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups
• A generalisation of Kramer's theorem and its applications
• Ons-Permutable Subgroups andp-Nilpotency of Finite Groups
• Endliche Gruppen I

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