Let $G$ denote the $Spin(n)$ group with $n>4$ and let $\Gamma$ be a cyclic subgroup $G$ of a prime order $p >2$. When does the projection $G \to G/\Gamma$ induce a surjection between cohomology groups $H^3$ with integral coefficients?
Cohomology of the quotient of a Lie group by a finite subgroup
Alexander Lytchak
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