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Siksek
  • Member for 14 years, 10 months
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When is the sum of two quadratic residues modulo a prime again a quadratic residue?
This is an easy consequence of the fact that $x^2+y^2=z^2$ is a curve of genus $0$ and so have exactly $p$ projective solutions.
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Isomorphism of semidirect products
Presumably $\hat{f} : \mathrm{Aut}(N) \rightarrow \mathrm{Aut}(N)$ sends $g$ to $f^{-1} \circ g \circ f$.
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