English

Classification of generalized Alexander quandles

Geometric Topology 2024-06-04 v1 Group Theory

Abstract

The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms.

Keywords

Cite

@article{arxiv.2406.01074,
  title  = {Classification of generalized Alexander quandles},
  author = {Akihiro Higashitani and Seiichi Kamada and Jin Kosaka and Hirotake Kurihara},
  journal= {arXiv preprint arXiv:2406.01074},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T16:50:42.366Z