4 papers
math.GR2026
Co-Hopfianity is not a profinite property
Hyungryul Baik, Wonyong Jang
We exhibit two finitely generated residually finite groups and with isomorphic profinite completions , such that is co-Hopfian while …
math.GR2025
On non-freeness of groups generated by two parabolic matrices with rational parameters: limit points and the orbit test
Wonyong Jang, Dongryung Yi
For , let K. Kim…
math.GR2025
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.GR2024
On the kernel of actions on asymptotic cones
Hyungryul Baik, Wonyong Jang
Any finitely generated group acts on its asymptotic cones in natural ways. The purpose of this paper is to calculate the kernel of such actions. First, we show that when is…