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Concept
Radical Solvability
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Summary
Radical Solvability
refers to the ability to solve
Polynomial Equations
using a
Finite number of operations
involving addition, subtraction, multiplication, division, and
Extraction of roots
. It is closely related to
Galois Theory
, which provides a
Criterion for determining
whether a polynomial can be solved by radicals based on its
Symmetry properties
.
Concepts
Polynomial Equations
Galois Theory
Field Extensions
Symmetry
Roots Of Unity
Abel-Ruffini Theorem
Group Theory
Algebraic Structures
Solvable Groups
Solvable Group
Relevant Degrees
Mathematical Logic 80%
Computational Mathematics 20%
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