ConceptAbel-Ruffini theorem / 阿贝尔-鲁菲尼定理
Abel-Ruffini Theorem
A classical theorem in algebra stating that general polynomial equations of degree five or higher have no solution in radicals. It is one of the foundational results of Galois theory.
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Oct 14
For the Galois group Sn of a general equation of degree n, the DS dimension coincides with the Natarajan dimension if and only if n ≤ 4; in the characteristic-zero case, this is equivalent to the equation being solvable by radicals (the Abel-Ruffini theorem).
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