Random generation of Thompson group F

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume593
DOIs
StatePublished - 1 Mar 2022

Keywords

  • Random generation
  • Thompson group F
  • Tree diagrams

Fingerprint

Dive into the research topics of 'Random generation of Thompson group F'. Together they form a unique fingerprint.

Cite this