Toward a classification of finite quandles

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dc.creatorEhrman, G.
dc.creatorGurpinar, A.
dc.creatorThibault, M.
dc.creatorYetter, D. N.
dc.date2005-12-06
dc.date.accessioned2026-07-07T06:54:55Z
dc.date.available2026-07-07T06:54:55Z
dc.descriptionThis paper summarizes substantive new results derived by a student team (the first three authors) under the direction of the fourth author at the 2005 session of the KSU REU ``Brainstorming and Barnstorming''. The main results are a decomposition theorem for quandles in terms of an operation of `semidisjoint union' showing that all finite quandles canonically decompose via iterated semidisjoint unions into connected subquandles, and a structure theorem for finite connected quandles with prescribe inner automorphism group. The latter theorem suggests a new approach to the classification of finite connected quandles.
dc.description12 pages LaTeX
dc.identifierhttps://arxiv.org/abs/math/0512135
dc.identifierhttp://arxiv.org/abs/math/0512135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106114
dc.subjectQuantum Algebra
dc.titleToward a classification of finite quandles
dc.typetext

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