Sieve methods in group theory I: Powers in Linear groups     Sieve  Property-T  Powers  Linear groups  Finite groups of Lie type       font style='font-size:12px;'> 2011/9/14

Abstract: A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non vir...

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Stein's method and the multivariate CLT for traces of powers on the classical compact groups      random matrices  compact Lie groups  Haar measure  traces of powers  Stein’s method       font style='font-size:12px;'> 2011/2/22

Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...

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