On the higher relation modules of a finite group

DOI10.1016/0021-8693(79)90155-8zbMath0423.20007OpenAlexW1983366603MaRDI QIDQ1134217

Narain Gupta, Michael W. Thomson, Thomas J. Laffey

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90155-8

zbMATH Keywords

graded Lie algebralower central seriescentral factorcentrefree group of finite rankrelation modulerational relation modulesections of a free Lie algebratrace formula for linear transformations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items (7)

Fixed points on higher relation modules of finite groups ⋮ On the homology of the higher relation modules ⋮ Relative higher relation modules ⋮ On the homology of free Abelianized extensions of finite groups ⋮ On modular relation modules and residual nilpotence ⋮ FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS ⋮ Note on idempotents in the group ring of symmetric groups

Cites Work

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• The residual nilpotence of certain presentations of finite groups
• Generalized Magnus embeddings and some applications
• Freie Präsentierungen endlicher Gruppen und zugehörige Darstellungen
• Über Invarianten in Lieschen Ringen
• Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
• Annihilators of relation modules
• The Free Lie Ring and Lie Representations of the Full Linear Group
• Commutator Subgroups of Free Groups

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