A CHARACTERIZATION OF ALTERNATING GROUPS BY ORDERS OF SOLVABLE SUBGROUPS

DOI10.1142/S0219498804000988zbMath1066.20014MaRDI QIDQ4662062

Jianxing Bi, Xianhua Li

Publication date: 30 March 2005

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

zbMATH Keywords

normal subgroupsalternating groupssets of element ordersorders of solvable subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35)

Related Items (2)

\(s\)-conditionally permutable subgroups and \(p\)-nilpotency of finite groups. ⋮ \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.

Cites Work

• A characterization of some finite simple groups by orders of their solvable subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable

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