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June 2022 Structure of the associated groups of quandles
Toshiyuki Akita, Aoi Hasegawa, Masayoshi Tanno
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Kodai Math. J. 45(2): 270-281 (June 2022). DOI: 10.2996/kmj45205

Abstract

The associated groups of quandles play an important rôle in understanding quandles themselves. In this paper, we give several explicit descriptions of structure of associated groups by introducing certain quotient groups of them.

Funding Statement

The first author was partially supported by JSPS KAKENHI Grant Number 26400077 and by the Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University.

Acknowledgment

Authors would like to thank Ye Liu and So Yamagata for their careful reading of drafts of this paper. Authors would also like to thank the anonymous referee for valuable comments improving this paper.

Citation

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Toshiyuki Akita. Aoi Hasegawa. Masayoshi Tanno. "Structure of the associated groups of quandles." Kodai Math. J. 45 (2) 270 - 281, June 2022. https://doi.org/10.2996/kmj45205

Information

Received: 4 October 2021; Revised: 14 December 2021; Published: June 2022
First available in Project Euclid: 30 June 2022

Digital Object Identifier: 10.2996/kmj45205

Subjects:
Primary: 57K12
Secondary: 08A05 , 19C09 , 20E22 , 20F05 , 57K18

Keywords: associated group , Coxeter group , quandle , quandle homology

Rights: Copyright © 2022 Tokyo Institute of Technology, Department of Mathematics

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Vol.45 • No. 2 • June 2022
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