Random subgroups of linear groups are free

Details Random subgroups of linear groups are free Random subgroups of linear groups are free

2010-05-19

arxiv.org/abs/1005.3445v1

Mathematics

Group Theory

37 pages

Scientific paper

We show that on an arbitrary finitely generated non virtually solvable linear
group, any two independent random walks will eventually generate a free
subgroup. In fact, this will hold for an exponential number of independent
random walks.

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