Geodesic
Every reasonably sized matrix group is a subgroup of $S_∞$
Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 35-40.

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Every reasonably sized matrix group has an injective homomorphism into the group $S_∞$ of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into $S_∞$.
DOI : 10.4064/fm-164-1-35-40
Keywords: infinite symmetric group, matrix groups, nonarchimedian absolute values, field extensions, topological groups

Robert Kallman 1

1 
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Robert Kallman. Every reasonably sized matrix group is a subgroup of $S_∞$. Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 35-40. doi : 10.4064/fm-164-1-35-40. http://geodesic.mathdoc.fr/articles/10.4064/fm-164-1-35-40/

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