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On the action of the homology sphere group on its space of left-orders

Volume 261 / 2023

Kathryn Mann, Michele Triestino Fundamenta Mathematicae 261 (2023), 297-302 MSC: Primary 37C85; Secondary 57M60, 37B05, 37E05. DOI: 10.4064/fm196-1-2023 Published online: 13 February 2023

Abstract

We show that the action of the group \Gamma =\langle a,b,c\mid a^2=b^3=c^7=abc\rangle on its space of left-orders has exactly two minimal components.

Authors

  • Kathryn MannDepartment of Mathematics
    Cornell University
    310 Malott Hall
    Ithaca, NY 14853, USA
    e-mail
  • Michele TriestinoInstitut de Mathématiques de Bourgogne
    (UMR CNRS 5584)
    Université de Bourgogne
    21000 Dijon, France
    e-mail

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