Acylindrical accessibility for groups acting on R-trees

  title={Acylindrical accessibility for groups acting on R-trees},
  author={Richard Weidmann},
We prove an acylindrical accessibility theorem for finitely generated groups acting on R-trees. Namely, we show that if G is a freely indecomposable non-cyclic k-generated group acting minimally and D-acylindrically on an R-tree X then there is a finite subtree Tε ⊆ X of measure at most 2D(k − 1) + ε such that GTε = X. This generalizes theorems of Z. Sela and T. Delzant about actions on simplicial trees. 
Highly Cited
This paper has 37 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 18 references

Bounding the complexity of simplicial group actions on trees

M. Feighn
Invent . Math . • 2002

Weidmann The Nielsen method for groups acting on trees

Topol . Appl . • 2001

Wise , The equivalence of some residual properties of wordhyperbolic groups

J . Algebra • 2000

Quasi - convex groups of isometries of negatively curved spaces

Z. Sela
II , Geom . Funct . Anal . • 1997

Structure and rigidity in ( Gromov ) hyperbolic groups and discrete groups in rank 1 Lie groups

Z. Sela
Invent . Math . • 1997

Nielsen Methods for groups acting on hyperbolic spaces , to appear in Geom

I. Kapovich, R. Weidmann

Similar Papers

Loading similar papers…