23 citations · 23 across the 6 of their papers we have counts for
4 papers · 1 filter
Quasihomomorphisms to real algebraic groups
Sami Douba, Francesco Fournier-Facio, Sam Hughes +1
A quasihomomorphism is a map that satisfies the homomorphism relation up to bounded error. Fujiwara and Kapovich proved a rigidity result for quasihomomorphisms taking values in di…
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…
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…
Infinite simple characteristic quotients
Rémi Coulon, Francesco Fournier-Facio
We construct continuum many infinite, simple, characteristic quotients of non-abelian free groups, answering a 1978 question of James Wiegold. The method is very flexible, allowing…