39 citations · 383 across the 72 of their papers we have counts for
98 papers
Bergman's amalgamation problem over the circle
Andreas Thom
We prove that , , and are compact amalgamation bases: for each of these groups, any two compact groups with specified embedded copies of it embed in…
Commutators in Continuous Regular Rings
Andreas Thom, Jiaqi Wang
Let be a continuous von Neumann regular ring with no nonzero abelian idempotents. We prove that every element of is a single additive commutator. In particular, every opera…
A conditional construction of a nonhyperlinear group and the centralizer problem
Andreas Thom
We show that a positive answer to the centralizer problem for tracial matrix ultraproducts implies the existence of a finitely generated nonhyperlinear group.
Nonsofic wreath products of residually finite groups
Gabor Kun, Andreas Thom
This work builds on the breakthrough of OpenAI in finding the first nonsofic group. We analyze the underlying proof mechanism and find further applications. Let be such that…
Mixed identities for simple locally finite groups
Henry Bradford, Kıvanç Ersoy, Jakob Schneider +1
A mixed identity of a group is a nontrivial word with constants that vanishes under every substitution of its variables. We derive lower bounds for the length of mixed identities i…
-cohomology and deformations of the left regular representation
Christoph Gamm, Andreas Thom
We study deformations of unitary representations whose coefficients lie in the Hilbert-Schmidt ideal . Interesting applications arise for the…