Lvzhou Chen

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20212026

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math.GR2025

The Wiegold problem and free products of left-orderable groups

Lvzhou Chen, Yash Lodha

A group has normal rank (or weight) greater than one if no single element normally generates the group. The Wiegold problem from 1976 asks about the existence of a finitely generat…

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 $h (F) \geq ε_{d}$ ,…

The Wiegold problem and free products of left-orderable groups

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

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