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Solvability by radicals

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Summary

A polynomial equation is solvable by radicals when its roots can be obtained from coefficients using field operations and iterated extraction of roots.

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Canonically induces

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splitting field + its solvable Galois group(construction junction)Solvability by radicals

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Under the standard separability qualifications (in particular over characteristic zero), a polynomial is solvable by radicals exactly when its Galois group is solvable.

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Feed several structures into a construction junction and impose compatibility between them.

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