On torsion in certain free centre-by-soluble groups

DOI10.1016/0022-4049(93)90026-PzbMath0798.20027MaRDI QIDQ686041

Ralph Stöhr, A. L. Shmel'kin

Publication date: 3 November 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

involutionshomology groupsexterior powerlower central seriesderived seriestorsion elements2-torsion subgroupfree centre-by-metabelian grouprelation moduletorsion in relatively free groups defined by commutator identities

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14)

Related Items

Symmetric powers, metabelian Lie powers and torsion in groups ⋮ On elements of order 2 in the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3

Cites Work

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