Homology of free Lie powers and torsion in groups

DOI10.1007/BF02761691zbMath0828.20036WikidataQ115391678 ScholiaQ115391678MaRDI QIDQ1310153

Ralph Stöhr

Publication date: 18 December 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

torsion subgrouphomology groupslower central seriesfree central extensionsfree presentationsLie powers of relation modules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)

Related Items

Torsion in free center-by-nilpotent-by-abelian Lie rings of rank 2 ⋮ Lie powers of relation modules for groups. ⋮ Symmetric powers, metabelian Lie powers and torsion in groups ⋮ 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 ⋮ Free central extensions of groups and modular Lie powers of relation modules

Cites Work

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• On torsion in free central extensions of some torsion-free groups
• On the homology of the higher relation modules
• A Note on the Homology of Free Abelianized Extensions
• HOMOLOGY OF METABELIAN LIE POWERS AND TORSION IN RELATIVELY FREE GROUPS
• Homology of Higher Relation Modules and Torsion in Free Central Extensions of Groups
• Homology theory of free abelianized extensions
• The free centre-by-metabelian groups