Every reasonably sized matrix group is a subgroup of $S_∞$
Volume 164 / 2000
Fundamenta Mathematicae 164 (2000), 35-40
DOI: 10.4064/fm-164-1-35-40
Abstract
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 $S_∞$.
