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

2014/05/29 by Grigorchuk, Rostislav, Kravchenko, Rostyslav, Olshanskii, Alexander
#20C99 #20E99 #37A15 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1405.7605

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.

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