Doubly transitive groups and cyclic quandles
Geometric Topology
2017-09-20 v3 Group Theory
Abstract
We prove that for n>2 there exists a quandle of cyclic type of size n if and only if n is a power of a prime number. This establishes a conjecture of S. Kamada, H. Tamaru and K. Wada. As a corollary, every finite quandle of cyclic type is an Alexander quandle. We also prove that finite doubly transitive quandles are of cyclic type. This establishes a conjecture of H. Tamaru.
Keywords
Cite
@article{arxiv.1401.4574,
title = {Doubly transitive groups and cyclic quandles},
author = {Leandro Vendramin},
journal= {arXiv preprint arXiv:1401.4574},
year = {2017}
}
Comments
6 pages. Final version