Computing the associated groups of quandles with tools from group homology theory
Volume 268 / 2025
Fundamenta Mathematicae 268 (2025), 181-195
MSC: Primary 20N02; Secondary 20E22, 57K10
DOI: 10.4064/fm240314-24-11
Published online: 4 February 2025
Abstract
We give a complete description of the associated group of any quandle as a central extension of the inner automorphism group. As an application, we compute the second quandle homology groups of quandles from some families, including Alexander quandles.
