GROUPS WITH ALL PROPER SUBGROUPS (FINITE RANK)-BY-NILPOTENT. II

DOI10.1081/AGB-100001676zbMath1003.20033OpenAlexW2049252995MaRDI QIDQ2752356

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

Publication date: 22 January 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100001676

zbMATH Keywords

nilpotent groupslocally soluble-by-finite groupsgroups of finite Prüfer rank

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) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (7)

Some countably recognizable classes of groups ⋮ Unnamed Item ⋮ Groups with iterated restrictions on conjugacy classes ⋮ ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER ⋮ Soluble minimal non-(finite-by-Baer)-groups. ⋮ On Minimal Non-Baer-Groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Groups with all proper subgroups (finite rank)-by-nilpotent
• Locally (soluble-by-finite) groups of finite rank
• A group with trivial centre satisfying the normalizer condition
• Groups with few non-nilpotent subgroups

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