2 citations · 2 across the 9 of their papers we have counts for
22 papers
The Twist Conjecture and the Isomorphism Problem for Coxeter groups
Elia Fioravanti
We prove Mühlherr's Twist Conjecture: any two angle-compatible Coxeter generating sets of a Coxeter group differ by a finite sequence of elementary twists and a conjugation. Combin…
Automorphism growth and group decompositions
Elia Fioravanti
Let be a finitely generated group with an automorphism , or an outer automorphism . Suppose that decomposes into simpler pieces on which…
--trees and accessibility over arc-stabilisers
Elia Fioravanti
Let be a minimal action on an --tree with finitely presented. Assuming that is accessible over the family of arc-stabilisers of , we gi…
Generators for automorphisms of special groups
Elia Fioravanti
Let be a (compact) special group in the sense of Haglund and Wise. We show that is finitely generated, and provide a virtual generating set consisting of Dehn tw…
On uniqueness of coarse median structures
Elia Fioravanti, Alessandro Sisto
We show that any product of bushy hyperbolic spaces has a unique coarse median structure, and that having a unique coarse median structure is a property closed under relative hyper…
Growth of automorphisms of virtually special groups
Elia Fioravanti
We study the speed of growth of iterates of outer automorphisms of virtually special groups, in the Haglund-Wise sense. We show that each automorphism grows either polynomially or…