GROUPS WITH FEW SOLVABLE SUBGROUPS

DOI10.1142/S0219498813500114zbMath1270.20027MaRDI QIDQ4928317

Mohammad Zarrin

Publication date: 11 June 2013

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

zbMATH Keywords

finite groupsfinite simple groupsnilpotencesolubilitynumbers of soluble subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• A characterization of some finite simple groups by orders of their solvable subgroups
• On solvable subgroups of the symmetric group
• Some finite nonsolvable groups characterized by their solvable subgroups^∗
• On the Finite Group with the Same Orders of Solvable Subgroups as the Simple GroupL _n (q)
• Nonsolvable finite groups all of whose local subgroups are solvable

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