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Uniform Independence in Linear Groups by Breuillard, E.; Gelander, T. is a scholarly article available to read on EtoBox.

What is Uniform Independence in Linear Groups about?

We show that for any finitely generated group of matrices that is not virtually solvable, there is an integer m such that, given an arbitrary finite generating set for the group, one may find two elements a and b that are both products of at most m generators, such that a and b are free generators of a free subgroup. This uniformity result improves the original statement of the Tits alternative.

Author
Breuillard, E.; Gelander, T.
Published
2006
Language
EN

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