English

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

Dynamical Systems 2016-07-04 v2 Group Theory

Abstract

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

Keywords

Cite

@article{arxiv.1405.7605,
  title  = {Constructions of torsion-free countable, amenable, weakly mixing groups},
  author = {Rostislav Grigorchuk and Rostyslav Kravchenko and Alexander Olshanskii},
  journal= {arXiv preprint arXiv:1405.7605},
  year   = {2016}
}
R2 v1 2026-06-22T04:26:13.239Z