On join properties of Hall \(\pi\)-subgroups of finite \(\pi\)-soluble groups

DOI10.1006/JABR.1997.7356zbMath0914.20021OpenAlexW2014969722MaRDI QIDQ1270965

Adolfo Ballester-Bolinches, Luis M. Ezquerro

Publication date: 17 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7356

zbMATH Keywords

finite groupssubnormal subgroupsFitting formationsresidualsHall \(\pi\)-subgroupsquasinilpotent groupsnormal \(\pi\)-complements

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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Finite soluble groups
• Finite groups in which all \(p\)-subnormal subgroups form a lattice
• An intersection property of Sylow \(p\)-subgroups affecting \(p\)-length in finite \(p\)-solvable groups
• Sylowgruppen und Kompositions-Struktur
• Unnamed Item
• Unnamed Item

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