On connected quandles of prime power order
Group Theory
2019-05-02 v2
Abstract
We develop some general ideas to study connected quandles of prime power size and we classify non-affine connected quandles of size for , using a combination of group theoretical and universal algebraic tools. As a byproduct we obtain a classification of Bruck loops of the same size and that they are in one-to-one correspondence with commutative automorphic loops.
Keywords
Cite
@article{arxiv.1904.12801,
title = {On connected quandles of prime power order},
author = {Giuliano Bianco and Marco Bonatto},
journal= {arXiv preprint arXiv:1904.12801},
year = {2019}
}