3
$\begingroup$

I learned that "If $G$ is a finite group acting freely and continuously on $S^n$, the sphere then $G$ has periodic cohomology".

My question is: Are there any other similar theorems relating the free action of a finite group and its cohomology?

maybe this question is too vague.

Improve this question
$\endgroup$

1 Answer 1

Reset to default
1
$\begingroup$

You may want to check out Alex Adem's paper:

Adem, Alejandro, Cohomological restrictions on finite group actions, J. Pure Appl. Algebra 54, No.2-3, 117-139 (1988). ZBL0686.57023. If you look at the papers which cite this one on Google Scholar some wisdom may likewise ensue.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .