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Strongly quasiconvex subgroups in graph of groups.
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:

  1. H has finite height in G
  2. (G, H, T) is A/QI-triple
  3. 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.

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