Sur les Automorphismes de Groupes Libres et de Groupes de Surface
Group Theory
2011-10-04 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.1110.0203,
title = {Sur les Automorphismes de Groupes Libres et de Groupes de Surface},
author = {Frédéric Paulin},
journal= {arXiv preprint arXiv:1110.0203},
year = {2011}
}
Comments
S\'eminaire Bourbaki, Juin 2010, 62\`eme ann\'ee, 2009-2010, no 1023, \`a para\^itre dans Ast\'erisque, Soc. Math. France