On the I(G)-adic topology of the Burnside ring of compact Lie groups

DOI10.2977/prims/1195181407zbMath0604.57027OpenAlexW1999077037WikidataQ115224801 ScholiaQ115224801MaRDI QIDQ1083083

Norihiko Minami

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181407

zbMATH Keywords

Burnside ringrestrictioncompact Lie groupinduced representationsp-Sylow subgroupI(G)-adic completionp- adic completionsstable equivariant cohomology groups of spheres

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Compact Lie groups of differentiable transformations (57S15) Equivariant homotopy theory in algebraic topology (55P91) Equivariant homotopy groups (55Q91) Cohomotopy groups (55Q55)

Related Items (3)

A Segal conjecture for \(p\)-completed classifying spaces ⋮ Group homomorphisms inducing an isomorphism of a functor ⋮ The Relative Burnside Module and the Stable Maps Between Classifying Spaces of Compact Lie Groups

Cites Work

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• On the \(S^ 1\)-Segal conjecture
• The Burnside ring of a cyclic extension of a torus
• On the Burnside ring and stable cohomotopy of a finite group.

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