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  • Titel
    Elements with north-south dynamics and free subgroups have positive density in Thompson's groups T and V
  • Verfasser
    Cleary, Sean ; Tenas, Ariadna Fossas
  • Enthalten in
    Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 485-496
  • Erschienen
    2021
  • Sprache
    Englisch
  • Dokumenttyp
    Aufsatz in einer Zeitschrift
  • URN
    urn:nbn:de:hbz:6-06089644038 
  • DOI
    10.17879/06089643673 
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Abstract
  • We show that the density of elements in Thompson’s groups T and V which have north-south dynamics acting on the circle is positive with respect to a stratification in terms of size. We show that the fraction of element pairs which generate a free subgroup of rank two is positive in both groups with respect to a stratification based on diagram size, which shows that the associated subgroup spectra of T and V contain free groups.
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