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Finite group actions on products of spheres. (English) Zbl 0872.57041
Summary: We make some contributions to the theory of actions of finite groups on products of spheres. Suppose that the group \(Z_q^r\) acts freely on the product of \(k\) copies of spheres. Question: Is \(r\leq k\)? We solve this question for several values of \(r\) and \(k\).

57S17 Finite transformation groups
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