16 citations · 68 across the 28 of their papers we have counts for
33 papers
A note on the proof of nonamenability of F
Sang-hyun Kim, Yash Lodha
The goal of this note is to provide a human written exposition of OpenAI's recent proof that Thompson's group F is nonamenable.
A note on normal generation and the first -betti number
Sam P. Fisher, Yash Lodha
In , Osin and Thom conjectured that the first -Betti number of a torsion-free discrete group is bounded above by the normal rank of the group minus one. The conjectur…
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…
On Ulam widths of finitely presented infinite simple groups
James Hyde, Yash Lodha
A fundamental notion in group theory, which originates in an article of Ulam and von Neumann from is uniform simplicity. A group is said to be -uniformly simple for $…
Displacement techniques in bounded cohomology
Caterina Campagnolo, Francesco Fournier-Facio, Yash Lodha +1
Several algebraic criteria, reflecting displacement properties of transformation groups, have been used in the past years to prove vanishing of bounded cohomology and stable commut…
An algebraic criterion for the vanishing of bounded cohomology
Caterina Campagnolo, Francesco Fournier-Facio, Yash Lodha +1
We prove the vanishing of bounded cohomology with separable dual coefficients for many groups of interest in geometry, dynamics, and algebra. These include compactly supported stru…
Finitely presented simple left-orderable groups in the landscape of Richard Thompson's groups
James Hyde, Yash Lodha
We construct the first examples of finitely presented simple groups of orientation-preserving homeomorphisms of the real line. Our examples are also of type , have infi…
Finitely presented left orderable monsters
Francesco Fournier-Facio, Yash Lodha, Matthew C. B. Zaremsky
A left orderable monster is a finitely generated left orderable group all of whose fixpoint-free actions on the line are proximal: the action is semiconjugate to a minimal action s…
Braided Thompson groups with and without quasimorphisms
Francesco Fournier-Facio, Yash Lodha, Matthew C. B. Zaremsky
We study quasimorphisms and bounded cohomology of a variety of braided versions of Thompson groups. Our first main result is that the Brin--Dehornoy braided Thompson group has…
Finitely generated simple left orderable groups with vanishing second bounded cohomology
Francesco Fournier-Facio, Yash Lodha
We prove that the finitely generated simple left orderable groups constructed by the second author with Hyde have vanishing second bounded cohomology, both with trivial real and tr…
Algebraic irrational stable commutator length in finitely presented groups
Francesco Fournier-Facio, Yash Lodha
We provide the first example of a finitely presented (in fact, type ) group with elements whose stable commutator length is algebraic and irrational, answering a question…
Second bounded cohomology of groups acting on -manifolds and applications to spectrum problems
Francesco Fournier-Facio, Yash Lodha
We prove a general criterion for the vanishing of second bounded cohomology (with trivial real coefficients) for groups that admit an action satisfying certain mild hypotheses. Thi…
Two new families of finitely generated simple groups of homeomorphisms of the real line
James Hyde, Yash Lodha, Cristóbal Rivas
The goal of this article is to exhibit two new families of finitely generated simple groups of homeomorphisms of . These families are strikingly different from existing…
The BNSR-invariants of the Lodha-Moore groups, and an exotic simple group of type
Yash Lodha, Matthew C. B. Zaremsky
In this paper we give a complete description of the Bieri-Neumann-Strebel-Renz invariants of the Lodha-Moore groups. The second author previously computed the first two invariants,…
Generic algebraic properties in spaces of enumerated groups
Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli, Yash Lodha
We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural nu…
Approximating nonabelian free groups by groups of homeomorphisms of the real line
Yash Lodha
We show that for a large class of finitely generated groups of orientation preserving homeomorphisms of the real line, the following holds: Given a group of rank…
Uniformly perfect finitely generated simple left orderable groups
James Hyde, Yash Lodha, Andrés Navas +1
We show that the finitely generated simple left orderable groups constructed by the first two authors in arXiv:1807.06478 are uniformly perfect - each element in the group ca…
Finitely generated infinite simple groups of homeomorphisms of the real line
James Hyde, Yash Lodha
We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right)…
Property FW, differentiable structures, and smoothability of singular actions
Yash Lodha, Nicolás Matte Bon, Michele Triestino
We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group has the fixed point property FW for walls (e.g…
Coherent actions by homeomorphisms on the real line or an interval
Yash Lodha
We study actions of groups by homeomorphisms on (or an interval) that are minimal, have solvable germs at and contain a pair of elements of a certain type…