Speaker: Nguyễn Thanh Hoàng (Đại học Sư Phạm Đà Nẵng)
Time: 9:30 - 11:00, Wednesday May 11, 2022
Venue: Room 612, A6, Institute of Mathematics, VAST
Online: https://meet.google.com/esi-huxm-xqg
Abstract: Given a graph of groups with certain conditions on vertex groups and its fundamental group acts acylindrically on its Bass-Serre tree T. Let H be a finitely generated subgroup of G, we prove that the following statements equivalence:
- H has finite height in G
- (G, H, T) is A/QI-triple
- H is strongly quasiconvex and virtually free in G
We also give a condition to determine whether strong quasiconvexity in a group is preserved under amalgams. This is a joint work with Hung Tran. | 
