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

2 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",

author = "Yang, \{Seung Yeop\}",

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

year = "2020",

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doi = "10.5666/KMJ.2020.60.2.279",

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T1 - Torsion in homology of dihedral quandles of even order

AU - Yang, Seung Yeop

N1 - Publisher Copyright: © Kyungpook Mathematical Journal.

PY - 2020/6/1

Y1 - 2020/6/1

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

UR - https://www.scopus.com/pages/publications/85088856060

U2 - 10.5666/KMJ.2020.60.2.279

DO - 10.5666/KMJ.2020.60.2.279

M3 - Article

AN - SCOPUS:85088856060

SN - 1225-6951

VL - 60

SP - 279

EP - 288

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 2

ER -

Torsion in homology of dihedral quandles of even order

Abstract

Keywords

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