Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A hyperbolic-by-hyperbolic hyperbolic group

Author: Lee Mosher
Journal: Proc. Amer. Math. Soc. 125 (1997), 3447-3455
MSC (1991): Primary 20F32; Secondary 57M07, 20F28
MathSciNet review: 1443845
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Given a short exact sequence of finitely generated groups

\begin{displaymath}1 \to K \to G \to H \to 1 \end{displaymath}

it is known that if $K$ and $G$ are word hyperbolic, and if $K$ is nonelementary, then $H$ is word hyperbolic. In the original examples due to Thurston, as well as later examples due to Bestvina and Feighn, the group $H$ is elementary. We give a method for constructing examples where all three groups are nonelementary.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20F32, 57M07, 20F28

Retrieve articles in all journals with MSC (1991): 20F32, 57M07, 20F28

Additional Information

Lee Mosher
Affiliation: Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey 07102

PII: S 0002-9939(97)04249-4
Received by editor(s): May 4, 1996
Additional Notes: Partially supported by NSF grant # DMS-9204331
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1997 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia