Sur les Automorphismes de Groupes Libres et de Groupes de Surface

Details Sur les Automorphismes de Groupes Libres et de Groupes de Surface Sur les Automorphismes de Groupes Libres et de Groupes de Surface

2011-10-02

arxiv.org/abs/1110.0203v1

Mathematics

Group Theory

S\'eminaire Bourbaki, Juin 2010, 62\`eme ann\'ee, 2009-2010, no 1023, \`a para\^itre dans Ast\'erisque, Soc. Math. France

Scientific paper

The special linear groups, the mapping class groups of surfaces, the outer autormorphism groups of free groups appear in numerous domains. Their analogies, developped in particular in K. Vogtmann's work, have been written about a lot. In this report, we concentrate on the contractible spaces on which these groups act in an analogous way, on the common properties of their subgroups, and on the similar (or conjecturally similar) properties of their asymptotic geometry.

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