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arXiv 0906.3574math.GR
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有限群最小度严格不等式的Magma证明

Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

Scott H. Murray, Neil Saunders

摘要:

有限群$G$的最小忠实置换度,记作$μ(G)$,是使$G$嵌入对称群$\Sym(n)$的最小非负整数$n$.在本文中,我们概述了一个岩浆证明,10是最小的程度,有集团$G$和$H$,使$μ(G \times H) < μ(G)+ μ(H)$。

英文摘要:

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 $μ(G \times H) < μ(G)+ μ(H)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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