Free central extensions of groups and modular Lie powers of relation modules

DOI10.1090/S0002-9939-2010-10409-4zbMath1227.20025OpenAlexW2009607490WikidataQ115289303 ScholiaQ115289303MaRDI QIDQ3056526

Marianne Johnson, Ralph Stöhr

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10409-4

zbMATH Keywords

commutator identitieshomology groupslower central seriesrelation modulesLie powersfree central extensionsfree center-by-nilpotent-by-Abelian groupstorsion elements in relatively free groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Identities, free Lie (super)algebras (17B01) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Torsion in free center-by-nilpotent-by-abelian Lie rings of rank 2 ⋮ L. G. KOVÁCS’ WORK ON LIE POWERS ⋮ FREE CENTRE-BY-NILPOTENT-BY-ABELIAN LIE RINGS OF RANK 2

Cites Work

• Unnamed Item
• On torsion in free central extensions of some torsion-free groups
• Factorisation of Lie resolvents
• Lie powers of infinite-dimensional modules
• On the multiplicator of \(F/\gamma_cR\)
• Homology of free Lie powers and torsion in groups
• Lie powers of relation modules for groups.
• On the differentials in the Lyndon-Hochschild-Serre spectral sequence
• Free centre-by-nilpotent-by-abelian groups
• The free centre-by-metabelian groups
• THE DECOMPOSITION OF LIE POWERS

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