February 23, 2024Open Access

Computing the associated groups of quandles with tools from group homology theory

Key Points

Key points are not available for this paper at this time.

Abstract

We give a complete description of the associated group of any quandle as a central extension of the inner-automorphism group. As an application, we compute the second quandle homology groups of quandles of some families, including those of Alexander quandles.

Read Full Paperexternally

اسأل الذكاء الاصطناعي

Bookmark

View Full Paper

Cite This Study

Katsumi Ishikawa (Fri,) studied this question.

synapsesocial.com/papers/68e77f50b6db6435876f2e0e https://doi.org/https://doi.org/10.48550/arxiv.2402.15417

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Structure groups and second homology groups of linear Alexander quandles2025
2Homogeneous quandles with abelian inner automorphism groups2024
3Classification of generalized Alexander quandles2024
4Groups, conjugation and powers2025 · 1 citations
5Homogeneous quandles with abelian inner automorphism groups and vertex-transitive graphs2024

اسأل الذكاء الاصطناعي

Bookmark

View Full Paper