A Note on the Homology of Free Abelianized Extensions

DOI10.2307/2048766zbMath0756.20007OpenAlexW4236270169MaRDI QIDQ3983066

Brian Hartley, Ralph Stöhr

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2048766

zbMATH Keywords

integral homologyaugmentation idealfree presentationderived group\(p\)-torsion subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (4)

On the homologies of free soluble groups ⋮ Symmetric powers, metabelian Lie powers and torsion in 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 ⋮ Homology of free Lie powers and torsion in groups

Cites Work

• On elements of order four in certain free central extensions of groups
• Homology of Higher Relation Modules and Torsion in Free Central Extensions of Groups
• Homology theory of free abelianized extensions
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