M. Epstein

activity

20182023

collaborators

4 papers

math.CO2023

Small transitive homogeneous $3$ - $(v, {4, 6}, 1)$ designs

M. Epstein, D. L. Kreher, S. S. Magliveras

A $3$ - $(v, {4, 6}, 1)$ design is a configuration of $v$ points and a collection of $4$ - and $6$ -element subsets called blocks, that jointly contain every 3-element subset exactly on…

math.GR2021

On the Covering Number of $U_{3} (q)$

Michael Epstein

The covering number, $σ (G)$ , of a finite, noncyclic group $G$ is the least positive integer $n$ such that $G$ is the union of $n$ proper subgroups. Here we investigate the covering…

math.GR2020

The Covering Numbers of the McLaughlin Group and some Primitive Groups of Low Degree

Michael Epstein

A \emph{finite cover} of a group $G$ is a finite collection $C$ of proper subgroups of $G$ with the property that $⋃ C = G$ . A finite group admits a finit…

math.PR2018

The lemniscate tree of a random polynomial

Michael Epstein, Boris Hanin, Erik Lundberg

To each generic complex polynomial $p (z)$ there is associated a labeled binary tree (here referred to as a "lemniscate tree") that encodes the topological type of the graph of $|p(…

Small transitive homogeneous 3-(v,{4,6},1) designs

On the Covering Number of U3​(q)

The Covering Numbers of the McLaughlin Group and some Primitive Groups of Low Degree

The lemniscate tree of a random polynomial

Small transitive homogeneous $3$ - $(v, {4, 6}, 1)$ designs

On the Covering Number of $U_{3} (q)$