Superconnected left quasigroups and involutory quandles
Group Theory
2021-03-12 v1
Abstract
In this paper we study the classes of superconnected and superfaithful left quasigroups, that are relevant in the study of Mal'cev varieties of left quasigroups \cite{Maltsev_paper}. Then we focus on quandles and in particular to the involutory ones. We extend the main result of \cite{involutive_quandles_russo} to the infinite case and we offer a characterization of several classes of involutory quandles in terms of the properties of the canonical generators of the displacement group, improving the main results of \cite{Nobu}.
Keywords
Cite
@article{arxiv.2103.06604,
title = {Superconnected left quasigroups and involutory quandles},
author = {Marco Bonatto},
journal= {arXiv preprint arXiv:2103.06604},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2004.05368