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math.GRMay 19, 2010
47
citations (OpenAlex)
authors
  • Richard Aoun
institutions
  • Laboratoire de Mathématiques d'Orsay
  • Université Paris-Sud
arXiv abstractPDF
paper

Random subgroups of linear groups are free

arXiv:1005.3445 · doi:10.1215/00127094-1443493

Abstract

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.

37 pages

References in corpus (1)

  • Exponentially generic subsets of groups

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