Geodesic
ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(A, GLn (q))
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 51-61

Voir la notice de l'article provenant de la source Cambridge University Press

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 GLn (q). The size of X(n, q) is a polynomial in q. In this note, it is shown that generically this polynomial has degree n 2(1 – a −1) − εr and leading coefficient mr , where εr and mr are constants depending only on r := n mod a. We also present an algorithm for explicitly determining these constants. 
BATE, MICHAEL; GULLON, ALEC. ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(A, GLn (q)). Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 51-61. doi: 10.1017/S0017089516000562
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