On the Orbit Decomposition of Finite Quandles

Details On the Orbit Decomposition of Finite Quandles On the Orbit Decomposition of Finite Quandles

2005-08-14

arxiv.org/abs/math/0508247v3

J. Knot Theory Ramifications 15 (2006) 761-772.

Mathematics

Geometric Topology

Version 3 includes changes suggested by referee. To appear in JKTR

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

On the Orbit Decomposition of Finite Quandles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Orbit Decomposition of Finite Quandles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Orbit Decomposition of Finite Quandles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138569