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Group theory is a beautiful subject, as is the rest of abstract algebra. My personal favorite result in mathematics is the Fundamental Theorem of Galois Theory
by betterunix 14y ago
Group theory is a beautiful subject, as is the rest of abstract algebra. My personal favorite result in mathematics is the Fundamental Theorem of Galois Theory, which requires at least some understanding of group theory.
- eru 14y agoAnd interesting enough, you can use the same machinery developed for those problems to prove the impossibility of squaring the circle, or trisecting an angle.