What elements are generating in the group of addition of the remainders modulo 10?

gdrsfdfsfss gdrsfdfsfss    1   20.07.2020 22:12    0

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raulchikon raulchikon  15.10.2020 15:26

{1, 3, 5, 7, 9}

Объяснение:

As known, generating element p in finite cyclical group |C_{n}|=n   satisfy to the next condition

gcd(p, n)=1

Also, it is necessary and sufficient conditions for elements in C_{n}

Therefore, for n=10 we get p={1,3,5,7,9}

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