In mod p, let k be the smallest positive integer such that [a]^k = [1].
Show that {[a],[a]²,.....,[a]^k} is closed under multiplication.
This is part of a larger problem overall and I have no idea how to show this. Any tips?
In mod p, let k be the smallest positive integer such that [a]^k = [1].
Show that {[a],[a]²,.....,[a]^k} is closed under multiplication.
This is part of a larger problem overall and I have no idea how to show this. Any tips?
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