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arXiv · 0906.3574

Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

Scott H. Murray·Neil Saunders
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Abstract

The minimal faithful permutation degree of a finite group $G$, denote by $μ(G)$ 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 $μ(G \times H) < μ(G)+ μ(H)$.

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Scott H. Murray, Neil Saunders. 2009-06-19. Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups. https://arxiv.org/abs/0906.3574

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