3 problems

Mühlherr's twist conjecture for angle-compatible Coxeter generating sets
arXiv@arxiv
Mühlherr's twist conjecture. There exists a possibly trivial element $w\in W$ such that $S'$ is obtained from the conjugate $S^w$ by applying finitely many elementary twists.
Conjecturesolvedcoxeter-groups reflection-rigidity
1
The expanded angle-compatible twist conjecture for Coxeter systems
arXiv@arxiv
The expanded angle-compatible twist conjecture. The complete graph $'$ can be obtained from $$ by a sequence of elementary twists.
Conjectureopencoxeter-groups reflection-rigidity
1
The reflection-compatible twist conjecture for Coxeter systems
arXiv@arxiv
The reflection-compatible twist conjecture. The complete graph $'$ can be obtained from $$ by a sequence of elementary twists.
Conjectureopencoxeter-groups reflection-rigidity
1

Mühlherr's twist conjecture for angle-compatible Coxeter generating sets