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Is (R,+) group isomorphic to (R^2, +)?

Project I wrote in 2025 about whether two groups are isomorphic.

This is a project I wrote in June 2024 about group isomorphisms between \(\mathbb{R}\) is isomorphic to \(\mathbb{R}^2\) under addition. It was originally published on my old website. The PDF is below.

Is (R,+) group isomorphic to (R^2,+)?

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