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math.GR2026
Virtual splittings of right-angled Artin groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we determine, given a finite graph and an integer , when a right-angled Artin group virtually splits over an abelian subgroup of rank . Mor…
math.GR2026
Coarse separation and splittings in right-angled Artin groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we characterise geometrically when a right-angled Artin group splits over an abelian subgroup. More precisely, given a finite graph , we show that splits…
math.GR2026
Coarse separation and splittings in hyperbolic groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
We study coarse separation in one-ended hyperbolic groups from a quantitative point of view, focusing on the volume growth of separating subsets. We prove that a one-ended hyperbol…