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