Lvzhou Chen

activity

20162026

most citedBig mapping class groups and rigidity of the simple circle

11 citations · 32 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GR2021

A height gap in $G L_{d} (Q)$ and almost laws

Lvzhou Chen, Sebastian Hurtado, Homin Lee

E. Breuillard showed that finite subsets $F$ of matrices in $G L_{d} (Q)$ generating non-virtually solvable groups have normalized height $h (F) \geq ε_{d}$ ,…

math.GT2021

Normal subgroups of big mapping class groups

Danny Calegari, Lvzhou Chen

Let S be a surface and let Mod(S,K) be the mapping class group of S permuting a Cantor subset K of S. We prove two structure theorems for normal subgroups of Mod(S,K). (Purity:) if…

math.GR2021

Stable Torsion Length

Chloe I. Avery, Lvzhou Chen

The stable torsion length in a group is the stable word length with respect to the set of all torsion elements. We show that the stable torsion length vanishes in crystallographic…

A height gap in GLd​(Q​) and almost laws

Normal subgroups of big mapping class groups

Stable Torsion Length

A height gap in $G L_{d} (Q)$ and almost laws