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arXiv:0906.3574 [math.GR]AbstractReferencesReviewsResources

Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

Scott H. Murray, Neil Saunders

Published 2009-06-19Version 1

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 $\mu(G \times H) < \mu(G)+ \mu(H)$.

Comments: 4 pages
Categories: math.GR
Subjects: 20B35
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