Group actions on aspherical 𝐴_{𝑘}(𝑁)-manifolds with nonzero Euler characteristics

Ku, Hsü Tung

doi:10.1090/S0002-9939-1984-0728369-X

Group actions on aspherical $A_{k}(N)$-manifolds with nonzero Euler characteristics
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Proc. Amer. Math. Soc. 90 (1984), 459-462 Request permission

Abstract:

By an aspherical ${A_k}(N)$-manifold, we mean a compact manifold $M$ together with a map $f$ from $M$ into an aspherical complex $N$ such that ${f^*}$: ${H^k}(N;Q) \to {H^k}(M;Q)$ is nontrivial. In this paper we study the fixed point set, degree of symmetry, semisimple degree of symmetry and torus degree of symmetry of $M$ with the Euler characteristic of $M$ nonzero.

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