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Artin groups and mapping class groups - Hamenstädt, Ursula (Author of the conference) | CIRM H

Multi angle

Using a very recent result of Calderon and Salter, we relate small type Artin groups defined by Coxeter diagram which are trees to mapping class groups. This gives information on both the Artin groups with respect to commensurability and hyperbolicity of the parabolic subgroup graph as well as information on the mapping class group and its associated geometric spaces, namely generating sets of finite index subgroups and fundamental groups of strata of abelian differentials. I'll try to highlight the many ways in which this reflects various aspects of Mladen's work.[-]
Using a very recent result of Calderon and Salter, we relate small type Artin groups defined by Coxeter diagram which are trees to mapping class groups. This gives information on both the Artin groups with respect to commensurability and hyperbolicity of the parabolic subgroup graph as well as information on the mapping class group and its associated geometric spaces, namely generating sets of finite index subgroups and fundamental groups of ...[+]

20F65 ; 53C24 ; 57S25

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