Absorption of Direct Factors With Respect to the Minimal Faithful Permutation Degree of a Finite Group

David Easdown, Michael Hendriksen, Neil Saunders

The minimal faithful permutation degree $\mu (G)$ of a finite group $G$ is the least nonnegative integer $n$ such that $G$ embeds in the symmetric group $\Sym(n)$. We prove that if $H…