Topology Atlas | Conferences

Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Galkin quandles and colorings of knots
by
Mohamed Elhamdadi
University of south Florida
Coauthors: E. Clark, X. Hou, M. Saito & T. Yeatman

Quandles appeared in many works on quasigroups (Stein 1957, Belousov 1960 and Galkin 1988). I will introduce the notion of Galkin quandles and show how we got in it through quasigroups. Each pointed abelian group gives a Galkin quandle. Galkin quandles are isomorphic if and only if their associated pointed abelian groups are isomorphic. Properties of Galkin quandles will be shown. We will demonstrate how Galkin quandles are used to color and then distinguish some knots.

Date received: November 24, 2011

Copyright © 2011 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 # cbdt-25.