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Let “ ·n” be multiplication modulo n, and consider the set Un = { [a] ?...

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Advance Math

Let “ ·n” be multiplication modulo n, and consider the set Un ={ [a] ? Zn | there is a [b] ? Zn with [a] ·n [b] = [1]}

(a) Show that (Un, ·n ) is a group.

(b) Write down the Cayley table for U5. Hint: |U5| = 4.

(c) Write down the Cayley table for U12. Hint: |U12| = 4.

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here i am using defination of    See Answer
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