Question

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

Answer 1

Ответ:

{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}