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3
votes
1
answer
1k
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Finite subgroups of SO(3)
There are several proofs of the famous classification of finite subgroups of $SO(3)$. I heard that there is a "purely algebraic" one attributed to Camille Jordan. Does anybody know of a reference?
Th …
18
votes
2
answers
2k
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Clean Proofs of Properties of Projective Space
How far can one go in proving facts about projective space using just its universal property?
Can one prove Serre's theorem on generation by global sections, calculate cohomology, classify all invert …