Nonnormal and minimal nonabelian subgroups of a finite group.

DOI10.1007/s11856-010-0108-8zbMath1216.20010OpenAlexW1992425600MaRDI QIDQ616529

Yakov G. Berkovich

Publication date: 10 January 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0108-8

zbMATH Keywords

finite \(p\)-groupsconjugacy classes of subgroupsnon-normal subgroupsminimal non-nilpotent groupsnon-Abelian subgroupsDedekind groupsminimal non-Abelian groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Characterizing nilpotent Lie algebras that satisfy the converse to the Schur theorem ⋮ Finite 2-groups with index of every cyclic subgroup in its normal closure no greater than 4.

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