check
Amitsur Symposium: Arye Juhasz - "On the center of Artin groups" | Einstein Institute of Mathematics

Amitsur Symposium: Arye Juhasz - "On the center of Artin groups"

Date: 
Tue, 26/06/201814:00-15:00
Location: 
Manchester House, Lecture Hall 2
Let A be an Artin group. It is known that if A is spherical (of finite type) and irreducible (not a direct sum), then it has infinite cyclic center.
It is conjectured that all other irreducible Artin groups have trivial center. I prove this conjecture under a stronger assumption that not being spherical namely, if there is a standard generator which is not contained in any 3-generated spherical standard parabolic subgroup. The main tool is relative presentations of Artin groups.