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math.LO2026
Oligomorphic groups, their automorphism groups, and the complexity of their isomorphism
Gianluca Paolini, Andre Nies
The paper establishes results following two interconnected directions. 1. Let be a Roelcke precompact closed subgroup of the group of permutations of the nat…
math.LO2025
Automorphism groups of non-Archimedean groups
Andre Nies, Philipp Schlicht
Let $\Aut(G)$ denote the group of (bi-)continuous automorphisms %and $\Out(G)$ the outer automorphism group of a non-Archimedean Polish group~. We show that for any such wit…