29 citations · 43 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
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.…
Around first-order rigidity of Coxeter groups
Simon André, Gianluca Paolini
By the work of Sela, for any free group , the Coxeter group is elementarily equivalent to…
On the existence of uncountable Hopfian and co-Hopfian abelian groups
Gianluca Paolini, Saharon Shelah
We deal with the problem of existence of uncountable co-Hopfian abelian groups and (absolute) Hopfian abelian groups. Firstly, we prove that there are no co-Hopfian reduced abelian…