Connected quandles and transitive groups
Group Theory
2015-06-08 v2 Geometric Topology
Abstract
We establish a canonical correspondence between connected quandles and certain configurations in transitive groups, called quandle envelopes. This correspondence allows us to efficiently enumerate connected quandles of small orders, and present new proofs concerning connected quandles of order p and 2p. We also present a new characterization of connected quandles that are affine.
Keywords
Cite
@article{arxiv.1409.2249,
title = {Connected quandles and transitive groups},
author = {Alexander Hulpke and David Stanovský and Petr Vojtěchovský},
journal= {arXiv preprint arXiv:1409.2249},
year = {2015}
}