ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH

DOI10.1017/S0017089513000190zbMath1295.20037arXiv1208.5617OpenAlexW2963952920MaRDI QIDQ5397667

Kıvanç Ersoy, Antonio Tortora, Maria Tota

Publication date: 24 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5617

zbMATH Keywords

soluble groupssubgroups of finite indexfinitely generated subgroupssubnormal subgroupslocally graded groupsderived lengthsderived seriesgroups with all subgroups subnormalsolubility of groupslocally (soluble-by-finite) groupsdefects of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items

A note on groups whose non-normal subgroups are either abelian or minimal non-abelian, A note on locally graded minimal non-metahamiltonian groups

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