Toward a classification of finite quandles
Quantum Algebra
2007-05-23 v1
Abstract
This 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.
Keywords
Cite
@article{arxiv.math/0512135,
title = {Toward a classification of finite quandles},
author = {G. Ehrman and A. Gurpinar and M. Thibault and D. N. Yetter},
journal= {arXiv preprint arXiv:math/0512135},
year = {2007}
}
Comments
12 pages LaTeX