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Finite group actions on products of spheres

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Abstract

In this work we make some contributions to the theory of actions of finite groups on products of spheres. Suppose that the groupZ q r acts freely on the product of k copies of spheres. Question: Isr≤k? We solve this question for several values ofr andk.

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Authors and Affiliations

  1. Departmento de Matemática, ICMSC-USP, C.P. 668, São Carlos, S.P., Brazil

    Janey A. Daccach

  2. Departamento de Matematica, Unesp, Rio Claro, S.P., Brazil

    João P. Vieira

Authors
  1. Janey A. Daccach
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  2. João P. Vieira
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Daccach, J.A., Vieira, J.P. Finite group actions on products of spheres. Manuscripta Math 91, 511–523 (1996). https://doi.org/10.1007/BF02567970

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  • DOI: https://doi.org/10.1007/BF02567970

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