A limit approach to group homology.

DOI10.1016/j.jalgebra.2007.12.006zbMath1149.20042arXiv0812.2092OpenAlexW2963157938MaRDI QIDQ2482066

Ioannis Emmanouil, Roman Mikhailov

Publication date: 16 April 2008

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

Full work available at URL: https://arxiv.org/abs/0812.2092

zbMATH Keywords

group homologylower central seriesrelation moduleslimits of functors

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14) Category of groups (20J15)

Related Items (7)

Free group rings and derived functors ⋮ Dimension quotients, Fox subgroups and limits of functors ⋮ Homotopy patterns in group theory ⋮ Generalized dimension subgroups and derived functors ⋮ A higher limit approach to homology theories ⋮ Limits over categories of extensions. ⋮ Group localization and two problems of Levine

Cites Work

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• On torsion in free central extensions of some torsion-free groups
• On Gupta representations of central extensions
• Cyclic cohomology and algebra extensions
• On the homology of the higher relation modules
• Generalized Magnus embeddings and some applications
• Representations of certain verbal wreath products by matrices
• Group homology and extensions of groups
• Cohomological topics in group theory.

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