Random generation of Thompson group F

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2 Scopus citations


We prove that under two natural probabilistic models (studied by Cleary, Elder, Rechnitzer and Taback), the probability of a random pair of elements of Thompson group F generating the entire group is positive. We also prove that for any k-generated subgroup H of F which contains a “natural” copy of F, the probability of a random (k+2)-generated subgroup of F coinciding with H is positive.

Original languageEnglish
Pages (from-to)507-524
Number of pages18
JournalJournal of Algebra
StatePublished - 1 Mar 2022


  • Random generation
  • Thompson group F
  • Tree diagrams

ASJC Scopus subject areas

  • Algebra and Number Theory


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