Approximating the first $L^2$-betti number of residually finite groups - Mathematics > Group TheoryReportar como inadecuado




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Abstract: We show that the first $L^2$-betti number of a finitely generated residuallyfinite group can be estimated from below by using ordinary first betti numbersof finite index normal subgroups. As an application we construct a finitelygenerated infinite residually finite torsion group with positive first$L^2$-betti number.



Autor: W. Lück, D. Osin

Fuente: https://arxiv.org/







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