On parabolic subgroups of Artin-Tits groups (Q6114015)
From MaRDI portal
scientific article; zbMATH DE number 7710370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On parabolic subgroups of Artin-Tits groups |
scientific article; zbMATH DE number 7710370 |
Statements
On parabolic subgroups of Artin-Tits groups (English)
0 references
11 July 2023
0 references
In the framework of Artin-Tits groups, a main open conjecture states that the family of parabolic subgroups of an Artin-Tits group is closed under intersection. In the paper under review, the author proves that the conjecture is equivalent to a weaker conjecture. He also proves that the conjecture is true in a specific case.
0 references
parabolic subgroup
0 references
Artin group
0 references
Coxeter group
0 references
retraction
0 references
intersection
0 references
0 references
0 references
