16 citations · 68 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
On some algebraic and analytic properties of the finitely generated simple left orderable groups
Pawel Aleksander Fedorynski, Yash Lodha
In Hyde and the second author constructed the first family of finitely generated, simple, left orderable groups. We prove that these groups are not finitely presentable, non…
Embeddings into highly transitive and mixed identity free groups
James Hyde, Yash Lodha
Given a countable group , we develop a method to construct an overgroup that is finitely generated, highly transitive and mixed identity free. Our construction can be contro…
Just infinite quotients of finitely generated subgroups of
Yash Lodha
We show that just infinite quotients of finitely generated subgroups of Richard Thompson's group F are virtually abelian, answering a question of Grigorchuk. We show the same holds…
Generic torsion-free groups and Rubin actions
Thomas Koberda, Yash Lodha
We use model theoretic forcing to prove that a generic countable torsion-free group does not admit any nontrivial locally moving action on a Hausdorff topological space, and yet ad…