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Burnside Kei (involutory quandle)
by
Maciej Niebrzydowski
The George Washington University
Coauthors: Jozef H. Przytycki
Burnside Kei is an involutory quandle, Q, satisfying the universal relation a = ... *a*b* ... *a*b, for any a, b in Q. The simplest nontrivial relation of this sort is a=b*a*b, which is equivalent to commutativity, a*b=b*a. To every link we can associate its n-th Burnside Kei that is invariant under n-moves. In this joint work with Jozef Przytycki we investigate some algebraic properties of such structures.
Date received: December 5, 2005
Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # carw-17.