Generalized dimension subgroups and derived functors

DOI10.1016/j.jpaa.2015.10.020zbMath1343.18002arXiv1506.02124OpenAlexW2962698102MaRDI QIDQ908321

Roman Mikhailov, Inder Bir Singh Passi

Publication date: 4 February 2016

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

Full work available at URL: https://arxiv.org/abs/1506.02124

zbMATH Keywords

derived functors of non-additive functorsgeneralized dimension subgroups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (6)

Free group rings and derived functors ⋮ Dimension quotients, Fox subgroups and limits of functors ⋮ Homotopy patterns in group theory ⋮ Narain Gupta's three normal subgroup problem and group homology ⋮ Limits, standard complexes and -codes ⋮ Higher colimits, derived functors and homology

Cites Work

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• On the functorial homology of Abelian groups
• Group rings of circle and unit groups
• A higher limit approach to homology theories
• A limit approach to group homology.
• Dimension subgroups
• Cohomological topics in group theory.
• Computing the homology of Koszul complexes
• Dimension quotients
• Free Group Rings
• Circle Groups of Nilpotent Rings

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