Geometric & Functional Analysis GAFA

, Volume 3, Issue 3, pp 263–278

Combings of semidirect products and 3-manifold groups

  • M. R. Bridson
Article

DOI: 10.1007/BF01895689

Cite this article as:
Bridson, M.R. Geometric and Functional Analysis (1993) 3: 263. doi:10.1007/BF01895689

Abstract

IfG is a finitely generated group that is abelian or word-hyperbolic andH is an asynchronously combable group then every split extension ofG byH is asynchronously combable. The fundamental group of any compact 3-manifold that satisfies the geometrization conjecture is asynchronously combable. Every split extension of a word-hyperbolic group by an asynchronously automatic group is asynchronously automatic.

1991 Mathematics Subject Classification

20F3220F3457M50

Copyright information

© Birkhäuser Verlag 1993

Authors and Affiliations

  • M. R. Bridson
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA