Central extensions of groups and adjoint groups of quandles

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.

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

References in corpus (1)

• Finite presentations of centrally extended mapping class groups

Cited by in corpus (6)

• Dehn quandles of groups and orientable surfaces
• Bilinear-form invariants of Lefschetz fibrations over the 2-sphere
• The adjoint group of a Coxeter quandle
• Schur Multipliers and Second Quandle Homology
• Finite presentations of centrally extended mapping class groups
• Right-angled Coxeter quandles and polyhedral products