JournalslemVol. 61, No. 3/4pp. 321–342

Constructions of torsion-free countable, amenable, weakly mixing groups

  • Rostislav Grigorchuk

    Texas A&M University, College Station, United States
  • Rostyslav Kravchenko

    Northwestern University, Evanston, USA
  • Alexander Yu. Olshanskii

    Vanderbilt University, Nashville, United States
Constructions of torsion-free countable, amenable, weakly mixing groups cover

Abstract

In this note, we construct countable, torsion-free, amenable, weakly mixing groups, which answer a question of V. Bergelson. Some results related to verbal subgroups and crystallographic groups are also presented.

Cite this article

Rostislav Grigorchuk, Rostyslav Kravchenko, Alexander Yu. Olshanskii, Constructions of torsion-free countable, amenable, weakly mixing groups. Enseign. Math. 61 (2016), no. 3, pp. 321–342

DOI 10.4171/LEM/61-3/4-3