Group actions and group extensions

Yalçin, Ergün

doi:10.1090/S0002-9947-00-02485-5

Group actions and group extensions
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by Ergün Yalçin PDF

Trans. Amer. Math. Soc. 352 (2000), 2689-2700 Request permission

Abstract:

In this paper we study finite group extensions represented by special cohomology classes. As an application, we obtain some restrictions on finite groups which can act freely on a product of spheres or on a product of real projective spaces. In particular, we prove that if $(Z/p)^r$ acts freely on $(S^1)^k$, then $r \leq k$.

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