We give a systematic study of the model theory of generic nilpotent groups and Lie algebras.
We show that the Fraïssé limit of 2-nilpotent groups of exponent p studied by Baudisch is 2 …

We prove the vanishing of bounded cohomology with separable dual coefficients for many
groups of interest in geometry, dynamics, and algebra. These include compactly supported …

We provide an example of two elementarily equivalent countable ICC groups G and H such
that G is amenable and H is not inner amenable. As a result, we provide the first example of …

Model theory and ultrapower embedding problems in operator algebras Page 437 Isaac Goldbring
Model theory and ultrapower embedding problems in operator algebras Abstract: We survey the …

arXiv:2402.02143v1 [math.LO] 3 Feb 2024 Generic groups and WAP Page 1 arXiv:2402.02143v1
[math.LO] 3 Feb 2024 Generic groups and WAP A. Ivanov and K. Majcher February 6, 2024 …

We prove that if $ G $ and $ H $ are $\alpha $-back-and-forth equivalent groups (in the
sense of computable structure theory) for some ordinal $\alpha\geq\omega $, then their …

We study generic properties of topological groups in the sense of Baire category. First, we
investigate countably infinite groups. We extend a classical result of BH Neumann, H …

Methods Let T be a universal theory of groups. It will correspond to properties P as above.
We adapt the approach of [4]. The notion of a diagram from [4] in our case looks as follows …