Burnside kei

Details Burnside kei Burnside kei

2005-12-30

arxiv.org/abs/math/0601004v1

Mathematics

Geometric Topology

15 pages, 4 figures

Scientific paper

This paper is motivated by a general question: for which values of k and n is the universal Burnside kei of k generators and Kei "exponent" n, $\bar Q(k,n)$, finite? It is known (starting from the work of M. Takasaki (1942)) that $\bar Q(2,n)$ is isomorphic to the dihedral quandle Z_n and $\bar Q(3,3)$ is isomorphic to Z_3 + Z_3. In this paper we give descriptions of $\bar Q(4,3)$ and $\bar Q(3,4)$. We also investigate some properties of arbitrary quandles satisfying the universal Burnside relation (of "exponent" n) a=...a*b*...*a*b. In particular, we prove that the order of a finite commutative kei is a power of 3. Invariants of links related to Burnside kei $\bar Q(k,n)$ are invariant under n-moves.

Affiliated with

Also associated with

No associations

Rating

Burnside kei 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 Burnside kei, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Burnside kei will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-398896