Endomorphism monoid and automorphism group of residually finite and profinite quandles
Group Theory
2023-11-08 v1 Geometric Topology
Abstract
We explore residually finite and profinite quandles. We prove that the endomorphism monoid and the automorphism group of finitely generated residually finite quandles are residually finite. In fact, we establish the similar result for a broad class of residually finite quandles. We provide a topological characterization of profinite quandles. We establish necessary and sufficient conditions for profinite quandles ensuring that their endomorphism monoids and automorphism groups are profinite.
Keywords
Cite
@article{arxiv.2311.03708,
title = {Endomorphism monoid and automorphism group of residually finite and profinite quandles},
author = {Manpreet Singh},
journal= {arXiv preprint arXiv:2311.03708},
year = {2023}
}
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14 pages