$$\mathbb Z[i]/(1+2i)\simeq\mathbb Z_5$$
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2026-04-04 12:08:58.1775304538
Prove this: $\mathbb Z[i]/(1+2i)\simeq\mathbb Z_5$
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Consider the homomorphism $$\phi:\Bbb Z[i]\rightarrow\Bbb Z_5\\a+bi\mapsto a^2+b^2$$
Show that: