On the cohomology of orbit space of free \pmb\ZZ_p-actions on lens spaces

2007/09/21 by Hemant Kumar Singh, Singh, Hemant Kumar, Tej Bahadur Singh +1
Mathematics · #55R20 #57S17 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55R20 #msc:57S17

paper · pdf · doi:10.48550/arxiv.0709.3344

6 pages

arxiv created 2007/09/21 · openalex publication_date 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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;q₁,...,q_m). In this paper, we determine the mod p cohomology ring of the orbit space X/G, when p²\nmid m.

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