Published:
[Erscheinungsort nicht ermittelbar]: Centre International de Rencontres Mathématiques (CIRM), 2020
Published in:Virtual Geometric Group Theory conference ; (Jan. 2020)
Extent:
1 Online-Ressource (1199 MB, 00:28:10:07)
Language:
English
DOI:
10.5446/53511
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
Parabolic subgroups are the fundamental building blocks of Artin groups. These subgroups are isomorphic copies of smaller Artin groups nested inside a given Artin group. In this talk, I will discuss questions surrounding how parabolic subgroups sit inside Artin groups and how they interact with each other. I will show that, in an FC type Artin group, the intersection of two finite type parabolic subgroups is a parabolic subgroup. I will also discuss how parabolic subgroups might be used to construct a simplicial complex for Artin groups similar to the curve complex for mapping class groups. This talk will focus on using geometric techniques to generalize results known for finite type Artin groups to Artin groups of FC type