Acylindrical accessibility for groups acting on R-trees

@inproceedings{Weidmann2005AcylindricalAF,
  title={Acylindrical accessibility for groups acting on R-trees},
  author={Richard Weidmann},
  year={2005}
}
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. 
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References

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

R.
Topol . Appl . • 2001

Wise , The equivalence of some residual properties of wordhyperbolic groups

D.
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
1996

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