William Y. Chen

collaborators

3 papers

math.GR2024

Non-congruence presentations of finite simple groups

William Y. Chen, Alexander Lubotzky, Pham Huu Tiep

We prove two results on some special generators of finite simple groups and use them to prove that every non-abelian finite simple group $S$ admits a non-congruence presentation (a…

math.AG2024

Families of elliptic curves over the four-pointed configuration space and exceptional sequences for the braid group on four strands

William Y. Chen, Nick Salter

We show that the configuration space of four unordered points in $C$ with barycenter 0 is isomorphic to the space of triples $(E, Q, ω)$ , where $E$ is an elliptic curve, $Q\…

math.GR2023

Finite simple characteristic quotients of the free group of rank 2

William Y. Chen, Alex Lubotzky, Pham Huu Tiep

In this paper we describe how to explicitly construct infinitely many finite simple groups as characteristic quotients of the rank 2 free group $F_{2}$ . This shows that a "baby" vers…