Mémoire sur les conditions de résolubilité des équations par radicaux.¶
Galois, É. (1846). Mémoire sur les conditions de résolubilité des équations par radicaux. Journal de mathématiques pures et appliquées, 381-444.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Associativity
- Symmetry
- … claim therefore specifies (i) the system whose invariance is being claimed, (ii) the transformation (or family of transformations) under which invariance holds, and (iii) the sense in which "unchanged" is meant, with the transformations themselves closing under composition, inversion, and identity to form a group
This sourceEstablished that a polynomial is solvable by radicals iff its associated permutation group (the Galois group) is solvable. Modern treatment: Edwards, Galois Theory (Springer, 1984); Stewart, Galois Theory, 4th ed. (CRC, 2015).
- … claim therefore specifies (i) the system whose invariance is being claimed, (ii) the transformation (or family of transformations) under which invariance holds, and (iii) the sense in which "unchanged" is meant, with the transformations themselves closing under composition, inversion, and identity to form a group
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Registry ID ref:e9181827659e · see in the full table