Andreas Thom

activity

20242026

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3 papers · 1 filter

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 $OCA$ and Martin's axiom for…

math.GR2024

Quadratic maps between non-abelian groups

Asgar Jamneshan, Andreas Thom

Gowers and Hatami initiated the inverse theory for the uniformity norms $U^{k}$ of matrix-valued functions on non-abelian groups by proving a $1%$ -inverse theorem for the $U^{2}$ -norm…

math.GR2024

High-dimensional expansion and soficity of groups

Lukas Gohla, Andreas Thom

For $d \geq 4$ and $p$ a sufficiently large prime, we construct a lattice $Γ \leq PSp_{2 d} (Q_{p}),$ such that its universal central extension cannot be sofic if $Γ$ sati…