Free quandles and knot quandles are residually finite

Valeriy G. Bardakov; Mahender Singh; Manpreet Singh

doi:10.1090/proc/14488

Free quandles and knot quandles are residually finite

Valeriy G. Bardakov, Mahender Singh, Manpreet Singh

Результат исследования: Научные публикации в периодических изданиях › статья

3 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	3621-3633
Число страниц	13
Журнал	Proceedings of the American Mathematical Society
Том	147
Номер выпуска	8
DOI	https://doi.org/10.1090/proc/14488
Состояние	Опубликовано - авг 2019

Доступ к документу

10.1090/proc/14488

Link to publication in Scopus

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keywords = "3-manifold group, Enveloping group, Free quandle, Knot group, Knot quandle, Peripheral subgroup, Residually finite quandle, enveloping group, knot quandle, peripheral subgroup, free quandle, knot group, residually finite quandle",

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KW - enveloping group

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KW - knot group

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