Torsion in Homology of Dihedral Quandles of Even Order

Seung Yeop Yang

doi:10.5666/KMJ.2020.60.2.279

Article

Kyungpook Mathematical Journal 2020; 60(2): 279-288

Published online June 30, 2020

Torsion in Homology of Dihedral Quandles of Even Order

Seung Yeop Yang

Department of Mathematics, Kyungpook National University, Daegu, 41566, Republic of Korea
e-mail : seungyeop.yang@knu.ac.kr

Received: March 4, 2020; Revised: March 30, 2020; Accepted: March 31, 2020

Abstract

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Abstract

Niebrzydowski and Przytycki conjectured that the torsion of rack and quandle homology of a dihedral quandle of order 2k is annihilated by k, unless k = 2^t for t > 1. We partially prove this conjecture.

Keywords: dihedral quandle, rack and quandle homology, torsion subgroup