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ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(<i>A</i>, GL<sub><i>n</i></sub>(<i>q</i>))

ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(<i>A</i>, GL<sub><i>n</i></sub>(<i>q</i>))

Abstract Fix an arbitrary finite group A of order a , and let X ( n, q ) denote the set of homomorphisms from A to the finite general linear group GL n ( q ). The size of X ( n, q ) is a polynomial in q . …