FINITE GROUPS WITH NON-CYCLIC 2-SUBGROUPS WHICH ARE SUBNORMAL OR HAVE SMALL INDICES IN THEIR NORMALIZERS

DOI10.1142/S0219498812501940zbMath1271.20016OpenAlexW2171077878MaRDI QIDQ4923932

Jiangtao Shi, Cui Zhang

Publication date: 27 May 2013

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

Full work available at URL: https://doi.org/10.1142/s0219498812501940

zbMATH Keywords

finite groupssolvabilitysubnormal subgroups\(p\)-nilpotent groupsindices of normalizersnon-cyclic 2-subgroups

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)

Cites Work

• Nonnormal subgroups of \(p\)-groups.
• A complete classification of finite p-groups all of whose noncyclic subgroups are normal
• Self-normalizing Sylow subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups

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