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math.GR2021
On the Covering Number of
Michael Epstein
The covering number, , of a finite, noncyclic group is the least positive integer such that is the union of 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 is a finite collection of proper subgroups of with the property that . A finite group admits a finit…