Finite Groups Whose F-Hypercenter Contains Certain Subgroups of Prime Power Order

DOI10.1142/S1005386709000558zbMath1187.20007MaRDI QIDQ3638717

M. Ezzat Mohamed

Publication date: 28 October 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1604/S1005386709000558.html

zbMATH Keywords

saturated formationsfinite supersolvable groupslocal formationsFitting subgroupALPE-subgroups\(\mathfrak F\)-hypercenter

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

• The influence of minimal p-subgroups on the structure of finite groups
• Dualization of saturation for locally defined formations
• Zur Theorie der Formationen
• Finite groups whose minimal subgroups are normal
• Finite groups with quasinormal subgroups of prime power order.

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