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math.GR2025
Stability, approximable quotients, and higher property (T)
Francesco Fournier-Facio
We construct a wealth of groups that are finitely presented, Frobenius stable, have property (T), but are very far from having property (T). Our method also shows that property…
math.GR2025
Stable reflection length in Coxeter groups
Francesco Fournier-Facio, Marco Lotz, Timothée Marquis
We introduce stable reflection length in Coxeter groups, as a way to study the asymptotic behaviour of reflection length. This creates connections to other well-studied stable leng…