Non-abelian exterior products of groups and exact sequences in the homology of groups

DOI10.1017/S0017089500006637zbMath0631.20040MaRDI QIDQ3767506

Graham J. Ellis

Publication date: 1987

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

exact sequenceshomology of groupsHopf formulanonabelian exterior producthomology exact sequencenonabelian exterior products

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Applied homological algebra and category theory in algebraic topology (55U99) Homology of a product, Künneth formula (55U25)

Related Items (21)

Three-Dimensional Presentations for the Groups of Order at Most 30 ⋮ Some aspects of homotopic algebra and non-abelian (co)homology theories ⋮ A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ A projective homotopy theory of crossed \(G\)-modules ⋮ Higher dimensional crossed modules of algebras ⋮ On the existence of representations of finitely presented groups in compact Lie groups ⋮ Some generalisations of Schur's and Baer's theorem and their connection with homological algebra ⋮ Quelques propriétés homologiques des modules précroisés. (Some homological properties of precrossed modules) ⋮ Non-abelian tensor and exterior products modulo \(q\) and universal \(q\)- central relative extension ⋮ ON NONABELIAN TENSOR PRODUCT MODULOqOF GROUPS ⋮ Non-abelian tensor and exterior products of multiplicative Lie rings ⋮ On the second homology of crossed modules ⋮ Some computations of non-Abelian tensor products of groups ⋮ Unnamed Item ⋮ An algebraic derivation of a certain exact sequence ⋮ Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cohomology of crossed Lie algebras and additive Milnor's \(K\)- theory ⋮ Unnamed Item ⋮ Crossed squares and combinatorial homotopy

Cites Work

• Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
• Spaces with finitely many non-trivial homotopy groups
• A ten-term exact sequence in the homology of a group extension
• On central group extensions and homology
• On the homology theory of central group extensions. I: The commutator map and stem extensions
• The Ganea Map for Nilpotent Groups
• The Second Homology Group of a Group; Relations among Commutators
• Unnamed Item

This page was built for publication: Non-abelian exterior products of groups and exact sequences in the homology of groups