# Acylindrical accessibility for groups

@article{Sela1997AcylindricalAF, title={Acylindrical accessibility for groups}, author={Zlil Sela}, journal={Inventiones mathematicae}, year={1997}, volume={129}, pages={527-565} }

Abstract.We define the notion of acylindrical graph of groups of a group. We bound the combinatorics of these graphs of groups for f.g. freely indecomposable groups. Our arguments imply the finiteness of acylindrical surfaces in closed 3-manifolds [Ha], finiteness of isomorphism classes of small splittings of (torsion-free) freely indecomposable hyperbolic groups as well as finiteness results for small splittings of f.g. Kleinian and semisimple discrete groups acting on non-positively curved…

## 132 Citations

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