Qiang Zhang

activity

20182026

most citedExplicit bounds for fixed subgroups of endomorphisms of free products

5 citations · 9 across the 6 of their papers we have counts for

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5 papers · 1 filter

math.GR2026

Finitely generated Howson groups which are not strongly Howson

Ke Wang, Qiang Zhang

A group $G$ is called a Howson group if the intersection of any two finitely generated subgroups of $G$ is again finitely generated. It is called strongly Howson if, in addition, t…

math.GR2026

An Explicit Bound for the Conjugator Length Function of a Surface Group

Ke Wang, Qiang Zhang

For a surface group $π_{1} (Σ_{g}) = ⟨ c_{1}, \dots, c_{2 g} ∣ c_{1} \dots c_{2 g} c_{1}^{- 1} \dots c_{2 g}^{- 1} ⟩$ with genus $g \geq 2$ , we provide an explicit bound $n-1\leq \mathrm{…

math.GR2024★ 1 cited

A note on the finitely generated fixed subgroup property

Jialin Lei, Jiming Ma, Qiang Zhang

We study when a group of form $G \times Z^{m} (m \geq 1)$ has the finitely generated fixed subgroup property of automorphisms ( $FGFP_{a}$ ), by using the BNS-invariant, and p…

math.GR2023★ 5 cited

Explicit bounds for fixed subgroups of endomorphisms of free products

Jialin Lei, Qiang Zhang

For an automorphism $ϕ$ of a free group $F_{n}$ of rank $n$ , Bestvina and Handel showed that the rank $r k F i x (ϕ)$ of the fixed subgroup is not greater than $n$ (the so-called Scott c…

math.GR2018

Fixed subgroups in direct products of surface groups of Euclidean type

Jianchun Wu, Enric Ventura, Qiang Zhang

We give an explicit characterization of which direct products $G$ of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of $G$ i…