Qiang Zhang

collaborators

3 papers

math.GR2026

A note on test elements for monomorphisms of free groups

Dongxiao Zhao, Qiang Zhang

A word in a group is called a test element if any endomorphism fixing it is necessarily an automorphism. In this note, we give a sufficient condition in geometry to construct test…

math.GR2026

Alternating and Symmetric Separability of Free Products

Dongxiao Zhao, Qiang Zhang

Let $F * G$ be a free product of a free group $F$ and a LERF group $G$ . In this note, we provide sufficient conditions for a subgroup $H$ of $F * G$ to be $\mathcal{A} \cup \…

math.GR2024

Howson groups which are not strongly Howson

Qiang Zhang, Dongxiao Zhao

A group $G$ is called a Howson group if the intersection $H \cap K$ of any two finitely generated subgroups $H, K < G$ is again finitely generated, and called a strongly Howson group…