A classification of the stable type of \(BG^\wedge_p\) for compact Lie groups

DOI10.1016/S0040-9383(97)00090-6zbMath0926.55008WikidataQ115339861 ScholiaQ115339861MaRDI QIDQ1292666

John Martino, Stewart B. Priddy

Publication date: 16 August 1999

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

classifying spacestable mapdiscrete approximationouter automorphismtransfercompact Lie groupSegal conjectureSylow \(p\)-subgroupstable homotopy typeRoquette group\(p\)-toral group\(p\)-completion\(p\)-complete spectrum\(p\)-localizationoriginal summand

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Compact Lie groups of differentiable transformations (57S15) Stable homotopy theory, spectra (55P42)

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A Segal conjecture for \(p\)-completed classifying spaces ⋮ Stable splittings of classifying spaces of 2-toral compact Lie groups

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