On torsion in free central extensions of some torsion-free groups

DOI10.1016/0022-4049(87)90096-XzbMath0626.20018MaRDI QIDQ580491

Ralph Stöhr

Publication date: 1987

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

zbMATH Keywords

free grouptorsion subgrouphomology grouplower central seriesfree central extensions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14)

Related Items (15)

Torsion in free center-by-nilpotent-by-abelian Lie rings of rank 2 ⋮ On the homology of the higher relation modules ⋮ Lie powers of relation modules for groups. ⋮ L. G. KOVÁCS’ WORK ON LIE POWERS ⋮ Elements of Finite Order in Free Centre-by-Nilpotent-by-Abelian 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 ⋮ On torsion in certain free centre-by-soluble groups ⋮ Bases, filtrations and module decompositions of free Lie algebras ⋮ A limit approach to group homology. ⋮ Free central extensions of groups and modular Lie powers of relation modules ⋮ On the module structure of free Lie algebras ⋮ On elements of order four in certain free central extensions of groups ⋮ Free centre-by-(abelian-by-exponent 2) groups. ⋮ Homology of free Lie powers and torsion in groups ⋮ Some applications of free differential calculus in group theory

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• On Commutators and Powers in Groups
• FREE CENTER-BY-METABELIAN GROUPS, LIE ALGEBRAS, AND $ \mathcal{D}$-GROUPS
• On center by abelian by one‐relator groups
• The free centre-by-metabelian groups

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