Remarks on the cohomology of finite fundamental groups of 3-manifolds

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dc.creatorTomoda, Satoshi
dc.creatorZvengrowski, Peter
dc.date2009-04-12
dc.date.accessioned2026-07-07T13:03:21Z
dc.date.available2026-07-07T13:03:21Z
dc.descriptionComputations based on explicit 4-periodic resolutions are given for the cohomology of the finite groups G known to act freely on S^3, as well as the cohomology rings of the associated 3-manifolds (spherical space forms) M = S^3/G. Chain approximations to the diagonal are constructed, and explicit contracting homotopies also constructed for the cases G is a generalized quaternion group, the binary tetrahedral group, or the binary octahedral group. Some applications are briefly discussed.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 29 April 2008
dc.identifierhttps://arxiv.org/abs/0904.1876
dc.identifierhttp://arxiv.org/abs/0904.1876
dc.identifierGeom. Topol. Monogr. 14 (2008) 519-556
dc.identifierdoi:10.2140/gtm.2008.14.519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226769
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject57M05, 57M60, 20J06
dc.titleRemarks on the cohomology of finite fundamental groups of 3-manifolds
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