A combinatorial interpretation of the third integral homology of a group

DOI10.1016/0022-4049(84)90028-8zbMath0551.20039OpenAlexW2094642510MaRDI QIDQ801162

Allan J. Sieradski

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90028-8

zbMATH Keywords

presentationbalanced identitiescoupled identitiesthird integral homology group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)

Related Items

Combinatorial squashings, 3-manifolds, and the third homology of groups ⋮ Threshold subgroups for cockcroft 2-complexes ⋮ Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups ⋮ Identities between sets of relations

Cites Work

• Framed links for Peiffer identities
• Attaching 2-dimensional cells to a complex
• On adding relations to homotopy groups
• Über Identitäten zwischen Relationen
• Resolutions By Relations
• Free and Projective Crossed Modules
• On the Second Homotopy Module of Two-Dimensional CW Complexes
• Complexes and homotopy chains
• Combinatorial homotopy. II