Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank

DOI10.1007/s000130050037zbMath0871.20031OpenAlexW2034736275MaRDI QIDQ1359079

Martyn R. Dixon, Martin J. Evans, Howard Smith

Publication date: 5 October 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050037

zbMATH Keywords

soluble groupsfinitely generated subgroupsderived lengthsgroups of finite rankHeineken-Mohamed groupslocally finite fieldsperiodic locally graded groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

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Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank ⋮ NILPOTENCY IN UNCOUNTABLE GROUPS ⋮ Groups with some restrictions on non-Baer subgroups ⋮ Infinite groups with rank restrictions on subgroups. ⋮ A finiteness condition on subgroups of large derived length. ⋮ Unnamed Item

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