Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Every two-generator knot is prime


Author: F. H. Norwood
Journal: Proc. Amer. Math. Soc. 86 (1982), 143-147
MSC: Primary 57M25
MathSciNet review: 663884
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57M25

Retrieve articles in all journals with MSC: 57M25


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0663884-7
PII: S 0002-9939(1982)0663884-7
Keywords: One-relator knot, free product with amalgamation
Article copyright: © Copyright 1982 American Mathematical Society