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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