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.

Type

Journal article

Intellectual base

Primary research

Year

1846

Link

https://www.gutenberg.org/files/40213/40213-pdf.pdf

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Associativity
  • and Galois (1832) founded Galois theory on subgroup structures whose properties depend essentially on 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).

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