Skip to main content

Homology of S^n$S^n/G_xG_x$

I tried to find the homology groups of the quotient of the unit sphere $S^{n-1}$ by an action of a finite subgroup $G$ of $SO(n)$. II'm especially concernconcerned with $$H_i(S^{n-1}/G),\quad 1\leq i\leq n-2.$$ I have'thaven't found any reference for this problem.

Homology of S^n/G_x

I tried to find the homology groups of the quotient of the unit sphere $S^{n-1}$ by an action of a finite subgroup $G$ of $SO(n)$. I especially concern $$H_i(S^{n-1}/G),\quad 1\leq i\leq n-2.$$ I have't found any reference for this problem.

Homology of $S^n/G_x$

I tried to find the homology groups of the quotient of the unit sphere $S^{n-1}$ by an action of a finite subgroup $G$ of $SO(n)$. I'm especially concerned with $$H_i(S^{n-1}/G),\quad 1\leq i\leq n-2.$$ I haven't found any reference for this problem.

Source Link
Ryan Du
  • 303
  • 1
  • 5

Homology of S^n/G_x

I tried to find the homology groups of the quotient of the unit sphere $S^{n-1}$ by an action of a finite subgroup $G$ of $SO(n)$. I especially concern $$H_i(S^{n-1}/G),\quad 1\leq i\leq n-2.$$ I have't found any reference for this problem.