Minimal non-nilpotent groups which are supersolvable

zbMath1211.20026arXiv0912.0667MaRDI QIDQ3068038

Francesco G. Russo

Publication date: 13 January 2011

Full work available at URL: https://arxiv.org/abs/0912.0667

zbMATH Keywords

critical groupsShmidt groupsminimal non-nilpotent groupsgroups with many nilpotent subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19)

Related Items (4)

Characterization of finite groups with a unique non-nilpotent proper subgroup ⋮ Groups with few non-nilpotent subgroups ⋮ Finite groups with three nonabelian subgroups ⋮ Finite groups with a unique non-abelian proper subgroup

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