Indecomposable racks of order p^2

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dc.creatorGraña, Matias
dc.date2002-03-15
dc.date.accessioned2026-07-07T04:47:06Z
dc.date.available2026-07-07T04:47:06Z
dc.descriptionWe classify indecomposable racks of order p^2 (p a prime). There are 2p^2 - 2p - 2 isomorphism classes, among which 2p^2 - 3p - 1 correspond to quandles. In particular, we prove that an indecomposable quandle of order p^2 is affine (=Alexander). One of the results yielding this classification is the computation of the quandle nonabelian second cohomology group of an indecomposable quandle of prime order; which turns out to be trivial, as in the abelian case.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0203157
dc.identifierhttp://arxiv.org/abs/math/0203157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63578
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject16W30; 57M27
dc.titleIndecomposable racks of order p^2
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