3 papers
math.GR2026
Acylindrical hyperbolicity of outer automorphism groups of right-angled Artin groups
Hyungryul Baik, Junseok Kim
We study the acylindrical hyperbolicity of the outer automorphism group of a right-angled Artin group . When the defining graph has no SIL-pair (separating intersection…
math.GR2026
Bi-orderability and generalized torsion elements from the perspective of profinite properties
Wonyong Jang, Junseok Kim
Using fiber products, we construct bi-orderable groups from left-orderable groups. As an application, we show that bi-orderability is not a profinite property, answering a question…
math.GR2025
A non-Hopfian ascending HNN-extension of a finitely presented Hopfian group
Jan Kim, Junseok Kim, Yoonjin Lee
We find a non-Hopfian ascending HNN-extension of a finitely presented Hopfian group by providing an explicit construction. This result addresses an analogous question to the one po…