5 citations · 6 across the 5 of their papers we have counts for
5 papers
Automorphisms of Bestvina-Brady Groups: IA Rigidity, Arithmetic Commensurability, and Finiteness
Jialin Lei
Let be the Bestvina-Brady group associated to a finite connected graph . For a biconnected defining graph, we prove two structure theorems. First, restriction induces an i…
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…
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 Krzyż conjecture. The first step is to prove an entropy conjecture for polynomials whose ze…
A note on the finitely generated fixed subgroup property
Jialin Lei, Jiming Ma, Qiang Zhang
We study when a group of form has the finitely generated fixed subgroup property of automorphisms (), by using the BNS-invariant, and p…
Explicit bounds for fixed subgroups of endomorphisms of free products
Jialin Lei, Qiang Zhang
For an automorphism of a free group of rank , Bestvina and Handel showed that the rank of the fixed subgroup is not greater than (the so-called Scott c…