The Twist Conjecture and the Isomorphism Problem for Coxeter groups
We prove M\"uhlherr'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. Combined with earlier work of Howlett-M\"uhlherr and Marquis-M\"uhlherr, this completes the resolution of the Isomorphism Problem for Coxeter gr...