Jialin Lei

collaborators

4 papers

math.GR2026

Automorphisms of Bestvina-Brady Groups: IA Rigidity, Arithmetic Commensurability, and Finiteness

Jialin Lei

Let $H_{I^} $ be the Bestvina-Brady group associated to a finite connected graph $I^$ . For a biconnected defining graph, we prove two structure theorems. First, restriction induces an…

math.GR2026

Colored Stallings graphs and Counterexamples to Stallings equalizer conjecture

Jialin Lei, Teng Zhang

The famous Stallings equalizer conjecture has remained open for more than 40 years, which states that, for any free group $F_n$ of rank $n\ge 2$, any free group $F$, and any…

math.CV2026

Proof of the Agler--McCarthy entropy conjecture

Jialin Lei, Teng Zhang

In 2021, J.~Agler and J.~E. McCarthy proposed a two-step programme toward the celebrated KrzyÅ¼ conjecture. The first step is to prove an entropy conjecture for polynomials whose z…

math.GR2024

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…