A fixed-point theorem for $p$-group actions
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- by Stefan Jackowski PDF
- Proc. Amer. Math. Soc. 102 (1988), 205-208 Request permission
Abstract:
We prove Sullivan’s fixed-point conjecture for fixed-point-free actions of compact Lie groups which are extensions of a $p$-group by a torus. Moreover, we show that for a finite $p$-group $G$ and a compact or finitely dimensional paracompact $G$-space $X$ the fixed point set ${X^G}$ is nonempty iff the induced homomorphism of zero-dimensional stable cohomotopy groups ${\pi ^0}\left ( {BG} \right ) \to {\pi ^0}\left ( {EG{ \times _G}X} \right )$ is injective.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 205-208
- MSC: Primary 57S17,; Secondary 55P91
- DOI: https://doi.org/10.1090/S0002-9939-1988-0915745-9
- MathSciNet review: 915745