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That's a long way from being a convincing argument that compass and straight-edge can only produce quadratic extensions to number fields, though. (I know it's
by dmurray 6y ago
That's a long way from being a convincing argument that compass and straight-edge can only produce quadratic extensions to number fields, though.
(I know it's true, just saying it looks like you've offered an explanation in elementary terms, but I don't think one exists).
- redvenom 6y agoAbsolutely true, there is a lot to prove there. It's not an elementary explanation by any means, rather it is an outline that someone who knows Galois theory well could probably reconstruct.