Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
From MaRDI portal
Publication:1054311
DOI10.1016/0040-9383(84)90016-8zbMath0519.55009OpenAlexW2141839111MaRDI QIDQ1054311
Publication date: 1984
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(84)90016-8
homology of groupscoproducts of crossed P-modulesgeneralisation of the van Kampen theorem to dimension 2homotopy pushout of Eilenberg-MacLane spacespushouts of crossed modulessecond homotopy groups
Homotopy groups, general; sets of homotopy classes (55Q05) Homological methods in group theory (20J05) Homotopy groups of special spaces (55Q52)
Related Items
Some aspects of homotopic algebra and non-abelian (co)homology theories, Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes, The homotopy categorical crossed module of a CW-complex, Unnamed Item, Unions of Cockcroft two-complexes, Non-abelian exterior products of groups and exact sequences in the homology of groups, Unnamed Item, Homotopy patterns in group theory, The symmetric commutator homology of link towers and homotopy groups of 3-manifolds, Colimits of crossed modules in modified categories of interest, Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\), Brunnian braids on surfaces., Coproduct of crossed \(\mathrm{A}\)-modules of \(R\)-algebroids, Homotopical and combinatorial aspects of the theory of normal series in groups., Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups, ON NONABELIAN TENSOR PRODUCT MODULOqOF GROUPS, On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf, A colimit of classifying spaces, Simplicial deirvation, higher bear invariant and homology of crossed modules, Identities between sets of relations, Crossed complexes and chain complexes with operators, Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems, The non-Abelian tensor product of finite groups is finite, The classifying space of a crossed complex, Compatible actions of Lie algebras, Question de Whitehead et modules précroisés, FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS, The non-abelian tensor product of groups and related constructions, Tensor products of prime-power groups, 2-quasi crossed modules of commutative algebras, Unnamed Item, Free and projective crossed modules and the second homology group of a group