Finite groups, whose primary subgroups are either \(F\)-subnormal or \(F\)-abnormal.

DOI10.3103/S1066369X1108007XzbMath1230.20016MaRDI QIDQ647893

V. N. Semenchuk, S. N. Shevchuk

Publication date: 21 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite soluble groupsSylow subgroupssubnormal subgroupssaturated formationshereditary formationsprimary subgroupsabnormal 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) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items

Finite groups with formation subnormal primary subgroups, On a question of T. Hawkes, Finite groups with given sets of 𝔉-subnormal subgroups, On groups with formational subnormal Sylow subgroups, Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups, On one generalization of finite 𝔘-critical groups, Classes of finite groups with generalized subnormal cyclic primary subgroups.

Cites Work

• A note on subnormal and abnormal chains
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