MathAlgebraGroups

Multiplicative groups modulo m

Cyclic groups

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Is group $(\mathbb{Z}_m, +)$ cyclic?

(Hint: think how the definition of a cyclic group would look like in additive notation.)

Select one option from the list

No, this group can never be cyclic

It depends on

m

It is cyclic and

\overline{1}

is a generator

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