Free and Projective Crossed Modules

DOI10.1112/jlms/s2-22.1.66zbMath0427.20044OpenAlexW2090215766MaRDI QIDQ3864071

John G. Ratcliffe

Publication date: 1980

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-22.1.66

zbMATH Keywords

covering spaceprojective crossed modulesWhitehead's theoremrelative homotopy groupfree crossed modules

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Other groups related to topology or analysis (20F38) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (17)

Three-Dimensional Presentations for the Groups of Order at Most 30 ⋮ ENUMERATION OF WHITEHEAD GROUPS OF LOW ORDER ⋮ Cockcroft-Swan theorem for projective crossed chain complexes ⋮ Colimit theorems for relative homotopy groups ⋮ Projective crossed modules of algebras and cyclic homology ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Labelled oriented graph groups and crossed modules ⋮ Asphericity results for ribbon disk complements via alternate descriptions ⋮ Simplicial deirvation, higher bear invariant and homology of crossed modules ⋮ On (co)homology of 2-types and crossed modules ⋮ A non-abelian tensor product of Lie algebras ⋮ Generalized Group Presentation and Formal Deformations of CW Complexes ⋮ On Residual Nilpotence of Projective Crossed Modules ⋮ Question de Whitehead et modules précroisés ⋮ A combinatorial interpretation of the third integral homology of a group ⋮ Free simplicial groups and the second relative homotopy group of an adjunction space ⋮ Free and projective crossed modules and the second homology group of a group

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