Question: There is a general linear group GL 2 Let G = GL 2 (F 5.). (a) How many elements are there in G? (b)

There is a general linear group GL 2 Let G = GL 2 (F 5.). (a) How many elements are there in G? (b) What is the order of the special linear group H < G, the subgroup of G in which each element A has det(A) = 1? (C) IS SL 2 (F 5 ) normal in GL z (F 5 )?

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