The Betti numbers of some finite racks

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dc.creatorLitherland, R. A.
dc.creatorNelson, Sam
dc.date2001-06-19
dc.date2001-10-26
dc.date.accessioned2026-07-07T04:42:14Z
dc.date.available2026-07-07T04:42:14Z
dc.descriptionWe show that the lower bounds for Betti numbers given in math.GT/9909161 are equalities for a class of racks that includes dihedral and Alexander racks. We confirm a conjecture from the same paper by defining a splitting for the short exact sequence of quandle chain complexes. We define isomorphisms between Alexander racks of certain forms, and we also list the second and third homology groups of some dihedral and Alexander quandles.
dc.descriptionLaTeX, 16 pages; v3.0 added author contact info & corrected typos
dc.identifierhttps://arxiv.org/abs/math/0106165
dc.identifierhttp://arxiv.org/abs/math/0106165
dc.identifierJ. Pure Appl. Algebra 178 (2003) 187-202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61693
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject55M27;55N35
dc.titleThe Betti numbers of some finite racks
dc.typetext

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