On the Orbit Decomposition of Finite Quandles

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dc.creatorNelson, Sam
dc.creatorWong, Chau-Yim
dc.date2005-08-14
dc.date2006-06-14
dc.date.accessioned2026-07-07T06:42:47Z
dc.date.available2026-07-07T06:42:47Z
dc.descriptionWe study the structure of finite quandles in terms of subquandles. Every finite quandle $Q$ decomposes in a natural way as a union of disjoint $Q$-complemented subquandles; this decomposition coincides with the usual orbit decomposition of $Q$. Conversely, the structure of a finite quandle with a given orbit decomposition is determined by its structure maps. We describe a procedure for finding all non-connected quandle structures on a disjoint union of subquandles.
dc.descriptionVersion 3 includes changes suggested by referee. To appear in JKTR
dc.identifierhttps://arxiv.org/abs/math/0508247
dc.identifierhttp://arxiv.org/abs/math/0508247
dc.identifierJ. Knot Theory Ramifications 15 (2006) 761-772.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102170
dc.subjectGeometric Topology
dc.subject57M27, 57M25
dc.titleOn the Orbit Decomposition of Finite Quandles
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