Locally graded groups with a nilpotency condition on infinite subsets

DOI10.1017/S1446788700002536zbMath0982.20019MaRDI QIDQ2707067

Howard Smith, Costantino Delizia, Akbar Hussein Rhemtulla

Publication date: 9 January 2002

Published in: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics (Search for Journal in Brave)

zbMATH Keywords

finitely generated subgroupsnilpotent groupslocally graded groupscentral seriesfinite quotient groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (3)

Hyper-(Abelian-by-finite) groups with many subgroups of finite depth. ⋮ Locally graded groups with a condition on infinite subsets ⋮ Characterisation of finitely generated soluble finite-by-nilpotent groups.

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