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math.GR2026
Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of Groups
Gianluca Paolini, Jean-Luc Rabideau
We study graph products of groups over defining graphs of arbitrary cardinality from two closely related viewpoints. First, we characterize acylindrical hyperbolicity. If the defin…
math.GR2026
Realizing Non-Archimedean Polish Groups as Outer Automorphism Groups
Gianluca Paolini, Jean-Luc Rabideau
We prove that every non-Archimedean Polish group is topologically isomorphic to the outer automorphism group of a countable discrete group. Furthermore, our construction is Borel.…