Smith theory and the functor T (Q804008)
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scientific article; zbMATH DE number 4199034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smith theory and the functor T |
scientific article; zbMATH DE number 4199034 |
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Smith theory and the functor T (English)
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1991
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The main geometric point behind this purely algebraic paper is the following extension of Smith theory with relaxed finiteness assumptions: Let W be an elementary abelian p-group and V a subgroup. For certain W- spaces X having finite-dimensional mod p cohomology the inclusion of the homotopy fixed points of V, \(X^{hV}\subset X\), induces an isomorphism in W-equivariant cohomology after a suitable localization. The proofs make heavy use of Lannes' functor T.
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Steenrod algebra
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unstable module
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Smith theory
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elementary abelian p- group
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homotopy fixed points
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Lannes' functor
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