### Engulfing in word-hyperbolic groups.

Niblo, G.A., Williams, B.T. (2002)

Algebraic & Geometric Topology

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Niblo, G.A., Williams, B.T. (2002)

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A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PD groups. Notions of quasi-isometry,...

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