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Unformatted text preview: b) Let C n = { e 2 πki n ∈ C  k ∈ Z } for n = 1 , 2 ,... . Draw a picture of C n for n = 1 ,..., 5 and prove that C n is a subgroup of U (1). c) Prove that C n is isomorphic to Z n = Z /n Z . 4. a) Determine the addition table (consisting of all sums of two elements) of the group Z 2 ⊕ Z 3 . b) Find the following elements in Z 17 = { , 1 ,..., 16 } : 39 ,25 , 13 + 11 , 710 . c) Solve the following equations in Z 17 : 10x = 4 , 7 + x = 2 ....
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This note was uploaded on 01/18/2012 for the course INFORMATIK 2011 taught by Professor Phanthuongcang during the Winter '11 term at Cornell University (Engineering School).
 Winter '11
 PhanThuongCang

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