English

Good involutions of generalized Alexander quandles

Geometric Topology 2023-02-23 v1 Group Theory

Abstract

Quandles with good involutions, which are called symmetric quandles, can be used to define invariants of unoriented knots and links. In this paper, we determine the necessary and sufficient condition for good involutions of a generalized Alexander quandle to exist. Moreover, we classify all good involutions of a connected generalized Alexander quandle up to symmetric quandle isomorphisms.

Keywords

Cite

@article{arxiv.2302.11138,
  title  = {Good involutions of generalized Alexander quandles},
  author = {Yuta Taniguchi},
  journal= {arXiv preprint arXiv:2302.11138},
  year   = {2023}
}

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6 pages