2 papers
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.GR2025
The Kervaire conjecture and the minimal complexity of surfaces
Lvzhou Chen
The Kervaire conjecture asserts that adding a generator and then a relator to a nontrivial group always results in a nontrivial group. We introduce new methods from stable commutat…