Rank Gradient of Artin Groups and Relatives
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Tue, 09/10/2012 17:00 |
Nikolay Nikolov (University of Oxford) |
Algebra Seminar |
L2 |
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We prove that the rank gradient vanishes for mapping class groups, Aut(Fn) for all n, Out(Fn), n > 2 and any Artin group whose underlying graph is connected. We compute the rank gradient and verify that it is equal to the first L2-Betti number for some classes of Coxeter groups. |
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