A hyperbolic-by-hyperbolic hyperbolic group
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- by Lee Mosher PDF
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Abstract:
Given a short exact sequence of finitely generated groups \[ 1 \to K \to G \to H \to 1 \] 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
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Additional Information
- Lee Mosher
- Affiliation: Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey 07102
- MR Author ID: 248017
- Email: mosher@andromeda.rutgers.edu
- Received by editor(s): May 4, 1996
- Additional Notes: Partially supported by NSF grant # DMS-9204331
- Communicated by: Ronald M. Solomon
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3447-3455
- MSC (1991): Primary 20F32; Secondary 57M07, 20F28
- DOI: https://doi.org/10.1090/S0002-9939-97-04249-4
- MathSciNet review: 1443845