Non-left-orderable surgeries and generalized Baumslag–Solitar relators-Reference-Cited by-同舟云学术

Non-left-orderable surgeries and generalized Baumslag–Solitar relators

Published:2015-01 Issue:01 Volume:24 Page:1550003
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Ichihara Kazuhiro¹,Temma Yuki²

Affiliation:

1. Department of Mathematics, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan

2. Graduate School of Integrated Basic Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan

Abstract

We show that a knot has a non-left-orderable surgery if the knot group admits a generalized Baumslag–Solitar relator and satisfies certain conditions on a longitude of the knot. As an application, it is shown that certain positively twisted torus knots admit non-left-orderable surgeries.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500030

Reference9 articles.

1. Some two-generator one-relator non-Hopfian groups

2. S. Boyer, Handbook of Geometric Topology (North-Holland, Amsterdam, 2002) pp. 165–218.

3. On L-spaces and left-orderable fundamental groups

4. Orderable 3-manifold groups

5. Left-Orderable Fundamental Groups and Dehn Surgery

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1. Non-left-orderable surgeries on 1-bridge braids;Journal of Knot Theory and Its Ramifications;2020-10

2. Non-left-orderable surgeries on L-space twisted torus knots;Proceedings of the American Mathematical Society;2019-07-30

3. Left-orderability for surgeries on twisted torus knots;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2019-01-01

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