Sur les Automorphismes de Groupes Libres et de Groupes de Surface

zbMATH Open1356.20016arXiv1110.0203MaRDI QIDQ2967759

Frédéric Paulin

Publication date: 1 March 2017

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.

Full work available at URL: https://arxiv.org/abs/1110.0203

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (1)

A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

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