Influence of normality conditions on almost minimal subgroups of a finite group

DOI10.1016/0021-8693(78)90246-6zbMath0544.20018OpenAlexW1973336056MaRDI QIDQ796633

N. S. Narasimha Sastry, W. E. Deskins

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90246-6

zbMATH Keywords

solvabilitychain of subgroupsquasinormal subgroupPN-r groupQN-r groupsr-minimal subgroup

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) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35)

Related Items

Groups without faithful transitive permutation representations of small degree ⋮ Finite groups with S-permutable n-minimal subgroups ⋮ On minimal non PN-groups ⋮ Influence ofS-quasinormality condition on almost minimal subgroups of a finite group ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ A contribution to the theory of fuzzy subgroups ⋮ On the solvability of finite groups ⋮ Finite groups ⋮ Sufficient conditions for the solvability and supersolvability in finite groups

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