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Free quandles and knot quandles are residually finite. / Bardakov, Valeriy G.; Singh, Mahender; Singh, Manpreet.

In: Proceedings of the American Mathematical Society, Vol. 147, No. 8, 08.2019, p. 3621-3633.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG, Singh, M & Singh, M 2019, 'Free quandles and knot quandles are residually finite', Proceedings of the American Mathematical Society, vol. 147, no. 8, pp. 3621-3633. https://doi.org/10.1090/proc/14488

APA

Bardakov, V. G., Singh, M., & Singh, M. (2019). Free quandles and knot quandles are residually finite. Proceedings of the American Mathematical Society, 147(8), 3621-3633. https://doi.org/10.1090/proc/14488

Vancouver

Bardakov VG, Singh M, Singh M. Free quandles and knot quandles are residually finite. Proceedings of the American Mathematical Society. 2019 Aug;147(8):3621-3633. doi: 10.1090/proc/14488

Author

Bardakov, Valeriy G. ; Singh, Mahender ; Singh, Manpreet. / Free quandles and knot quandles are residually finite. In: Proceedings of the American Mathematical Society. 2019 ; Vol. 147, No. 8. pp. 3621-3633.

BibTeX

@article{dddb0cb6a8bb473d85a3be9ab777ee80,
title = "Free quandles and knot quandles are residually finite",
abstract = "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.",
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",
author = "Bardakov, {Valeriy G.} and Mahender Singh and Manpreet Singh",
year = "2019",
month = aug,
doi = "10.1090/proc/14488",
language = "English",
volume = "147",
pages = "3621--3633",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Free quandles and knot quandles are residually finite

AU - Bardakov, Valeriy G.

AU - Singh, Mahender

AU - Singh, Manpreet

PY - 2019/8

Y1 - 2019/8

N2 - 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.

AB - 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.

KW - 3-manifold group

KW - Enveloping group

KW - Free quandle

KW - Knot group

KW - Knot quandle

KW - Peripheral subgroup

KW - Residually finite quandle

KW - enveloping group

KW - knot quandle

KW - peripheral subgroup

KW - free quandle

KW - knot group

KW - residually finite quandle

UR - http://www.scopus.com/inward/record.url?scp=85073833635&partnerID=8YFLogxK

U2 - 10.1090/proc/14488

DO - 10.1090/proc/14488

M3 - Article

AN - SCOPUS:85073833635

VL - 147

SP - 3621

EP - 3633

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 8

ER -

ID: 21993666