Answer to Question #47366 in Abstract Algebra for ayush kumar
(a) Find the orders of the elements 7(bar)and 9(bar) in Z12.
(b) Find the signatures of (1 2 4) and (1 3 2 4) in S4, using the definition of signature.
(c) Prove that Q+ Q(root under 3) = {a + b(root under 3) I a, b E Q is a field.
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