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math.GR2025
Remarks on approximability and stability for groups
Vadim Alekseev, Andreas Thom
In this paper, we provide several instances in which interesting approximation and stability properties are inherited by quotients with respect to finitely generated normal subgrou…
math.GR2025
On finite local approximations of isometric actions of residually finite groups
Vadim Alekseev, Andreas Thom
We show that any isometric action of a residually finite group admits approximate local finite models. As a consequence, if is residually finite, every isometric -action emb…
math.GR2025
On the asymptotic equidistribution of word values in symmetric groups
Vadim Alekseev, Jakob Schneider, Andreas Thom
We prove an asymptotic equidistribution result for word values for words with constants in the symmetric group. We also speculate about simultaneous asymptotic equidistribution res…