Cellular covers of groups

DOI10.1016/j.jpaa.2005.11.004zbMath1105.55006OpenAlexW2140324455MaRDI QIDQ856333

Yoav Segev, Rüdiger Göbel, Emmanuel Dror Farjoun

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.11.004

zbMATH Keywords

nilpotent groupfinite groupcellular cover

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Central extensions and Schur multipliers (19C09)

Related Items

Idempotent Symmetries in Algebra and Topology ⋮ Group varieties not closed under cellular covers and localizations ⋮ Torsion homology and cellular approximation ⋮ Cellular properties of nilpotent spaces ⋮ Cellular covers of ℵ₁-free abelian groups ⋮ Finite metacyclic groups as active sums of cyclic subgroups. ⋮ A non-perfect surjective cellular cover of PSL(3,F(t)) ⋮ Cellular covers for R$R$-modules and varieties of groups ⋮ Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers ⋮ Generators and closed classes of groups ⋮ Cyclic cellularity and active sums ⋮ Comparing localizations across adjunctions ⋮ Cellular covers of totally ordered abelian groups ⋮ Cellularization of structures in stable homotopy categories ⋮ Colocalizations and dualities for modules and Abelian groups. ⋮ Cellular covers of local groups ⋮ The cellular structure of the classifying spaces of finite groups ⋮ A connection between cellularization for groups and spaces via two-complexes ⋮ Splitting kernels into small summands. ⋮ Properties of cellular classes of chain complexes ⋮ Quasi-co-local subgroups of Abelian groups. ⋮ The \(A\)-core and \(A\)-cover of a group. ⋮ Homotopy idempotent functors on classifying spaces

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