 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-3/2d/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

False. The proper subgroup

2 Z \times 2 Z

Z^{2}

is isomorphic to

Z^{2}

and is not cyclic.

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