On the Structure of the Normal Subgroups of a Group: Nilpotency

DOI10.1515/form.1991.3.581zbMath0759.20011OpenAlexW1994523514MaRDI QIDQ3992036

Derek J. S. Robinson, James C. Beidleman

Publication date: 28 June 1992

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186408

zbMATH Keywords

polycyclic-by-finite groupsfree groupsFrattini subgroupnormal subgroupFitting subgroupfinite ranksoluble-by-finitemaximal subgroups of finite indexabelian-by-nilpotent-by-finite groupsfree metanilpotent groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) General structure theorems for groups (20E34) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26)

Related Items (4)

On the structure of the normal subgroups of a group: Supersolubility ⋮ On Local Nilpotency of the Normal Subgroups of a Group ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ On non-supersoluble and non-polycyclic normal subgroups

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