Homology of coset space of finite group action on sphere












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Assume $n=1,3$ and consider $G=S^n$ which is a Lie group in this case. Suppose that $Hleq G$ is a finite subgroup of $G$.



When is it the case that the coset space, $G/H$, is an integral homology sphere?










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    0












    $begingroup$


    Assume $n=1,3$ and consider $G=S^n$ which is a Lie group in this case. Suppose that $Hleq G$ is a finite subgroup of $G$.



    When is it the case that the coset space, $G/H$, is an integral homology sphere?










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      Assume $n=1,3$ and consider $G=S^n$ which is a Lie group in this case. Suppose that $Hleq G$ is a finite subgroup of $G$.



      When is it the case that the coset space, $G/H$, is an integral homology sphere?










      share|cite|improve this question











      $endgroup$




      Assume $n=1,3$ and consider $G=S^n$ which is a Lie group in this case. Suppose that $Hleq G$ is a finite subgroup of $G$.



      When is it the case that the coset space, $G/H$, is an integral homology sphere?







      finite-groups lie-groups homology-cohomology group-actions






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 15 '18 at 20:54







      piotrmizerka

















      asked Dec 15 '18 at 14:46









      piotrmizerkapiotrmizerka

      339110




      339110






















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