Central extensions of groups and adjoint groups of quandles
Geometric Topology
2017-06-06 v5 Group Theory
Abstract
This paper develops an approach for describing centrally extended groups, as determining the adjoint groups associated with quandles. Furthermore, we explicitly describe such groups of some quandles. As a corollary, we determine some second quandle homologies.
Keywords
Cite
@article{arxiv.1505.03077,
title = {Central extensions of groups and adjoint groups of quandles},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:1505.03077},
year = {2017}
}
Comments
15 pages, and no figure. This paper is an algebraic part of the previous paper, arXiv:1210.6528, into which I divided as two parts. Furthermore, I rewrote the introduction in the first version, and revised some statements on Symplectic quandles and Coxeter quandles