2 papers
math.GR2025
Profinite rigidity of crystallographic groups arising from Lie theory
Davide Carolillo, Gianluca Paolini
We prove that every finite direct product of crystallographic groups arising from an irreducible root system (in the sense of Lie theory) is profinitely rigid (equiv. first-order r…
math.LO2023
The construction principle and non homogeneity of uncountable relatively free groups
Davide Carolillo, Gianluca Paolini
In [11] Sklinos proved that any uncountable free group is not -homogenenous. This was later generalized by Belegradek in [1] to torsion-free residually finite relatively…