On θ*-Pairs and the Structure of Finite Groups

DOI10.1142/S1005386710000027zbMath1193.20017MaRDI QIDQ3656782

Haihui Feng, Xiu Yun Guo

Publication date: 14 January 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1701/S1005386710000027.html

zbMATH Keywords

finite groupslocal formations\(p\)-nilpotencysupersolubility\(\pi\)-soluble groups2-maximal subgroups\(\theta^*\)-pairs

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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Cites Work

• On finite insoluble groups with nilpotent maximal subgroups
• The theory of finite groups. An introduction.
• A note on theta pairs for maximal subgroups
• On theta pairs for a maximal subgroup
• On maximal subgroups of finite groups and theta pairs

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