Geometric & Functional Analysis GAFA

, Volume 3, Issue 3, pp 263-278

First online:

Combings of semidirect products and 3-manifold groups

  • M. R. BridsonAffiliated withDepartment of Mathematics, Princeton University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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

20F32 20F34 57M50