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for those partice question could you help (1] Let (p: Z40 > Z40 be an isomorphism such that 99C?) 2 E. Find @(). (2] Let

for those partice question could you help

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(1] Let (p: Z40 > Z40 be an isomorphism such that 99C?) 2 E. Find @(). (2] Let 90: D3 > D3 be an automorphism. List all the possibilities for 90[R45o). Justify your answer. (3] Let G = (C*.-) (recall that C\" = (C \\ {0}). Let H be the set of matrices of the form (3 E) where (1,3) 6 (13*. The operation 011 H is matrix multiplication. You do not need to show that G and H are groups. Are G and H isomorphic? Justify your answer. Hint: Use Theorem 6.2 from Gallian. (4) Is U(16) isomorphic to 23'? Justify your

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