对称quandle的关联群
几何拓扑
2025-08-12 v4 群论
摘要
本文研究对称quandle的关联群的结构。在其他结果中，我们探讨了对称quandle的关联群与其基础quandle的关联群之间的关系。我们给出了对称quandle关联群的群论刻画。此外，我们证明对称quandle可嵌入当且仅当其基础quandle可嵌入，并确定了这些关联群的阿贝尔化。
引用
@article{arxiv.2505.23507,
title = {Associated groups of symmetric quandles},
author = {Toshiyuki Akita and Kakeru Shikata},
journal= {arXiv preprint arXiv:2505.23507},
year = {2025}
}
备注
Introduction was rewritten and several results were added