Torsion in homology of dihedral quandles of even order

Seung Yeop Yang

doi:10.5666/KMJ.2020.60.2.279

Torsion in homology of dihedral quandles of even order

Seung Yeop Yang

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	279-288
Number of pages	10
Journal	Kyungpook Mathematical Journal
Volume	60
Issue number	2
DOIs	https://doi.org/10.5666/KMJ.2020.60.2.279
State	Published - 1 Jun 2020

Keywords

Dihedral quandle
Rack and quandle homology
Torsion subgroup

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10.5666/KMJ.2020.60.2.279

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title = "Torsion in homology of dihedral quandles of even order",

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 = 2t for t > 1: We partially prove this conjecture.",

keywords = "Dihedral quandle, Rack and quandle homology, Torsion subgroup",

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note = "Publisher Copyright: {\textcopyright} Kyungpook Mathematical Journal.",

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AU - Yang, Seung Yeop

N1 - Publisher Copyright: © Kyungpook Mathematical Journal.

PY - 2020/6/1

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N2 - 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 = 2t for t > 1: We partially prove this conjecture.

AB - 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 = 2t for t > 1: We partially prove this conjecture.

KW - Dihedral quandle

KW - Rack and quandle homology

KW - Torsion subgroup

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DO - 10.5666/KMJ.2020.60.2.279

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SP - 279

EP - 288

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

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ER -

Torsion in homology of dihedral quandles of even order

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Keywords

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