Every two-generator knot is prime-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Every two-generator knot is prime

Published:1982 Issue:1 Volume:86 Page:143-147
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Norwood F. H.

Abstract

Theorem. Every two-generator knot is prime. The proof gives conditions under which a free product with amalgamation cannot be generated by two elements. An example is given of a composite one-relator link.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-086-01/S0002-9939-1982-0663884-7/S0002-9939-1982-0663884-7.pdf

Reference6 articles.

1. On the number of generators of a free product;Neumann, B. H.;J. London Math. Soc.,1943

2. F. H. Norwood, One-relator knots, Dissertation, Univ. Southwestern Louisiana, 1979.

3. Mathematics Lecture Series, No. 7;Rolfsen, Dale,1976

4. Roots and centralizers of peripheral elements in knot groups;Simon, Jonathan;Math. Ann.,1976

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some results on Heegaard splitting;Acta Mathematica Scientia;2022-08-30

2. Infinitely many roots of unity are zeros of some Jones polynomials;Geometriae Dedicata;2022-06-11

3. Double branched covers of tunnel number one knots;Geometriae Dedicata;2020-06-22

4. Two More Proofs that the Kinoshita Graph is Knotted;The American Mathematical Monthly;2019-04-21

5. On composite types of tunnel number two knots;Journal of Knot Theory and Its Ramifications;2015-02

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP