Topology Atlas | Conferences


Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Rack homology group of a certain finite quandle
by
Seonmi Choi
Kyungpook National University, Republic of Korea
Coauthors: Yongju Bae

A quandle is a set equipped with a binary operation satisfying three quandle axioms and a rack is an algebraic structure satisfying only second and third quandle axioms except first one. A finite quandle also can be expressed as a sequence of permutations of the underlying set satisfying certain conditions. In this talk, we will study the second rack homology group of the disjoint union of two finite quandles and the second rack homology group of a finite quandle whose sequence is [1, ..., 1, σ, σi] where σ is a permutation of the underlying set X={1, 2, ..., n}.

Date received: November 15, 2016


Copyright © 2016 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 # cbnq-25.