Let Un denote the integers relatively prime to n under multiplication mod n.  Prove whether the following group are isomorphic to each other or not: (1). U(8) and U(10) (2). U(8) and U(5) (3). U(5) and U(10)

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Chapter2: Second-order Linear Odes
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Let Un denote the integers relatively prime to n under multiplication mod n. 

Prove whether the following group are isomorphic to each other or not:

(1). U(8) and U(10)

(2). U(8) and U(5)

(3). U(5) and U(10)

(4), U(8) and U(12)

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