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Recall that U(Z20) is a group with multiplication modulo 20 as its operation. (i) List the elements of U(Z20), and find the order of
Recall that U(Z20) is a group with multiplication modulo 20 as its operation. (i) List the elements of U(Z20), and find the order of the group. (ii) Use the Internal Characterization Theorem to show that U(Z20) is isomor- phic to the direct product of two cyclic groups both of whose orders are greater than 1.
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i UZ20 elements are the positive integers less than 20 that are relatively prime to 20 These are 1 3 ...
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Authors: Amir Aczel, Jayavel Sounderpandian
7th Edition
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