Classification of Finite Subquandles in Spherical Quandles

Kentaro Yonemura; Naoki Nakamura

Classification of Finite Subquandles in Spherical Quandles

Algebraic Topology 2026-07-19 v1

Authors: Kentaro Yonemura , Naoki Nakamura

Abstract

Every finite subquandle of a spherical quandle is accounted for by dihedral quandles and by quandles defined on root systems.

Keywords

spherical quandles finite subquandles dihedral quandles root systems classification

Cite

@article{arxiv.2607.17137,
  title  = {Classification of Finite Subquandles in Spherical Quandles},
  author = {Kentaro Yonemura and Naoki Nakamura},
  journal= {arXiv preprint arXiv:2607.17137},
  year   = {2026}
}