Presentation length and Simon’s conjecture-Reference-Cited by-同舟云学术

Presentation length and Simon’s conjecture

Published:2011-07-12 Issue:1 Volume:25 Page:151-187
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Agol Ian,Liu Yi

Abstract

In this paper, we show that any knot group maps onto at most finitely many knot groups. This gives an affirmative answer to a conjecture of J. Simon. We also bound the diameter of a closed hyperbolic 3-manifold linearly in terms of the presentation length of its fundamental group, improving a result of White.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2012-25-01/S0894-0347-2011-00711-X/S0894-0347-2011-00711-X.pdf

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