Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

Details Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

2009-06-19

arxiv.org/abs/0906.3574v1

Mathematics

Group Theory

4 pages

Scientific paper

The minimal faithful permutation degree of a finite group $G$, denote by
$\mu(G)$ is the least non-negative integer $n$ such that $G$ embeds inside the
symmetric group $\Sym(n)$. In this paper, we outline a Magma proof that 10 is
the smallest degree for which there are groups $G$ and $H$ such that $\mu(G
\times H) < \mu(G)+ \mu(H)$.

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