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math.GR2024
On automorphism groups of metric reduced products of symmetric groups
Ben De Bondt, Andreas Thom
We study isomorphisms between metric reduced products of symmetric groups with the normalized Hamming metric assuming the open coloring axiom and Martin's axiom for…
math.GR2024
High-dimensional expansion and soficity of groups
Lukas Gohla, Andreas Thom
For and a sufficiently large prime, we construct a lattice such that its universal central extension cannot be sofic if sa…