Free quandles and knot quandles are residually finite

Autor:	Mahender Singh, Manpreet Singh, Valeriy G. Bardakov
Rok vydání:	2019
Předmět:	Pure mathematics Applied Mathematics General Mathematics Geometric Topology (math.GT) Automorphism Mathematics::Algebraic Topology Mathematics::Geometric Topology Mathematics - Geometric Topology Knot (unit) Knot group Mathematics::Quantum Algebra FOS: Mathematics Peripheral subgroup Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 147:3621-3633
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/14488
Popis:	In this note, residual finiteness of quandles is defined and investigated. It is proved that free quandles and knot quandles of tame knots are residually finite and Hopfian. Residual finiteness of quandles arising from residually finite groups (conjugation, core and Alexander quandles) is established. Further, residual finiteness of automorphism groups of some residually finite quandles is also discussed. 12 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45be033d5dc3df1c6f5b6bba3062b85d https://doi.org/10.1090/proc/14488 Zobrazit plný text záznamu