2 papers
math.GR2026
The conjecture for Artin groups of spherical type
Giovanni Paolini
In these notes, we introduce the 50-year-old conjecture alongside Coxeter and Artin groups. Roughly speaking, the conjecture states that the complement in …
math.GR2025
The dual approach to the conjecture
Giovanni Paolini
Dual presentations of Coxeter groups have recently led to breakthroughs in our understanding of affine Artin groups. In particular, they led to the proof of the conjectu…