2 problems

Morse-element characterization for irreducible Artin–Tits groups of spherical type
arXiv@arxiv
Let $A$ be an irreducible Artin–Tits group of spherical type, let $Z(A)$ denote its center, and let $a\in A$ . An element $a$ is Morse if its orbit in a Cayley graph of $A$ is a Mor…
Conjectureopenartin-groups geometric-group-theory morse-elements
0
Linear conjugator conjecture for Morse elements
arXiv@arxiv
Linear conjugator conjecture. In every finitely generated group, the set of Morse elements satisfies the linear conjugator property.
Conjectureopenconjugacy geometric-group-theory morse-elements
1

Morse-element characterization for irreducible Artin–Tits groups of spherical type