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

Alexander Olshanskii; Rostislav Grigorchuk; Rostyslav Kravchenko

arxiv: 1405.7605 · v2 · pith:AGZVJXWZnew · submitted 2014-05-29 · 🧮 math.DS · math.GR

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

Rostislav Grigorchuk , Rostyslav Kravchenko , Alexander Olshanskii This is my paper

classification 🧮 math.DS math.GR

keywords groupsamenablecountablemixingtorsion-freeweaklyanswerbergelson

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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.

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

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