Computing the associated groups of quandles with tools from group homology theory
Geometric Topology
2024-02-26 v1
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 of some families, including those of Alexander quandles.
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Cite
@article{arxiv.2402.15417,
title = {Computing the associated groups of quandles with tools from group homology theory},
author = {Katsumi Ishikawa},
journal= {arXiv preprint arXiv:2402.15417},
year = {2024}
}
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16 pages