The symmetry of intersection numbers in group theory.

Scott, Peter

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Splittings of groups and intersection numbers.

Scott, Peter, Swarup, Gadde A. (2000)

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Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.

Crisp, John, Wiest, Bert (2004)

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The geometry of abstract groups and their splittings.

Charles Terence Clegg Wall (2003)

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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,...

On the linearity problem for mapping class groups.

Brendle, Tara E., Hamidi-Tehrani, Hessam (2001)

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Commensurations of Out $(F_{n})$

Benson Farb, Michael Handel (2007)

Publications Mathématiques de l'IHÉS

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Let Out(F) denote the outer automorphism group of the free group F with >3. We prove that for any finite index subgroup Γ<Out(F), the group Aut(Γ) is isomorphic to the normalizer of Γ in Out(F). We prove that Γ is : every injective homomorphism Γ→Γ is surjective. Finally, we prove that the abstract commensurator Comm(Out(F)) is isomorphic to Out(F).