Galois: conditions for solvability of equations by radicals

What changed

Solvability questions could be decided through a structural condition on permutations rather than ad hoc formulas.

Scientific scope

Galois memoir composed circa 1831 and published by Liouville in 1846; later abstract group and field theory excluded.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the memoir composed around 1831 and first published by Liouville in 1846. Editorial transmission, later terminology and the subsequent expansion of Galois theory remain distinct.

Contributors

• Évariste Galois · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Galois, Memoir on the conditions for solvability of equations by radicals

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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