Math Challenges

Submissions for Problem #38

The set of even integers form a group under addition. Is this group cyclic?

\[ \left(2\mathbb{Z},+\right) \]

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Solution: \( <2>=\left\lbrace2n:n\in\mathbb{Z}\right\rbrace \)

Explanation:
Yes, it is an infinite cyclic group, generated by either 2 or -2.