I donโt know if it makes me extremely happy or extremely sad the fact that modern algebra solves the three Classical Greek problems of straightedge and compass constructions in a three line proof.
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I donโt know if it makes me extremely happy or extremely sad the fact that modern algebra solves the three Classical Greek problems of straightedge and compass constructions in a three line proof.

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Galois Theory Bits #1
Let \(E\) be the splitting field of an irreducible polynomial in \(\mathbb Q\left[x\right]\) of prime degree \(p\) having exactly two non-real roots. Then \(\text{Gal}\left(E/\mathbb Q\right)\cong S_p\).
I just wanted to let the tumblrverse know that I, me, this girl here, passed my first Modern Algebra test of the semester.
32/35 BITCHESSSSSS.