On the cohomology of orbit space of free \pmb{${\ZZ}_{p}$}-actions on lens spaces

Details On the cohomology of orbit space of free \pmb{${\ZZ}_{p}$}-actions on lens spaces On the cohomology of orbit space of free \pmb{${\ZZ}_{p}$}-actions on lens spaces

2007-09-21

arxiv.org/abs/0709.3344v1

Mathematics

Algebraic Topology

6 pages

Scientific paper

Let $G = \ZZ_p$, $p$ an odd prime, act freely on a finite-dimensional
CW-complex $X$ with mod $p$ cohomology isomorphic to that of a lens space
$L^{2m-1} (p;q_1,...,q_m)$. In this paper, we determine the mod $p$ cohomology
ring of the orbit space $X/G$, when $p^2\nmid m$.

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