The complete stable splitting for the classifying space of a finite group

DOI10.1016/0040-9383(92)90067-RzbMath0752.55010OpenAlexW2006728595MaRDI QIDQ1189131

John Martino, Stewart B. Priddy

Publication date: 26 September 1992

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(92)90067-r

zbMATH Keywords

classifying spacestable splittingsBurnside ringSegal Conjecturestable homotopy classes

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42)

Related Items (19)

Classifying spaces and properties of finite groups ⋮ Stable splittings of \(BP\) for some \(P\) of order thirty-two ⋮ A classification of the stable type of 𝐵𝐺 ⋮ Stable splittings of classifying spaces of metacyclic 2-groups ⋮ Orthogonal units of the bifree double Burnside ring ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group ⋮ The splitting of cohomology of \(p\)-groups with rank 2 ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group. II. ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ Stably splitting BG ⋮ Cohomology of groups with metacyclic Sylow 𝑝-subgroups ⋮ Some remarks on the p-homotopy type of B∑_p² ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Two classifications of simple Mackey functors with applications to group cohomology and the decomposition of classifying spaces ⋮ Automorphisms of \(p\)-groups given as cyclic-by-elementary Abelian central extensions ⋮ Induced maps in homology for \(p\)-toral compact Lie groups ⋮ Stable splittings of classifying spaces of metacyclic \(p\)-groups, \(p\) odd ⋮ Stable splittings of classifying spaces of 2-toral compact Lie groups

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