Central extensions of groups and adjoint groups of quandles

2015/05/12 by Takefumi Nosaka, Nosaka, Takefumi · 1 citation
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1505.03077

openalex publication_date 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Finite presentations of centrally extended mapping class groups
• A classifying invariant of knots, the knot quandle

Cited by

• Associated groups of symmetric quandles

Related

• Computing the associated groups of quandles with tools from group homology theory
• How to centralize and normalize quandle extensions
• Associated groups of symmetric quandles
• On embeddings of quandles into groups
• Connected quandles and transitive groups