Galois theory


Ga·​lois theory (ˌ)gal-ˈwä- How to pronounce Galois theory (audio)
: a part of the theory of mathematical groups concerned especially with the conditions under which a solution to a polynomial equation with coefficients in a given mathematical field can be obtained in the field by the repetition of operations and the extraction of nth roots

Example Sentences

Recent Examples on the Web This involved an area of math called Galois theory, which Schneps also worked in. Rivka Galchen, The New Yorker, 9 May 2022 The study of groups is fundamental to Galois theory, an advanced field of mathematics built to study abstract algebraic structures associated with polynomials and their roots. Quanta Magazine, 23 Sep. 2021

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'Galois theory.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


after Évariste galois, who developed it

First Known Use

1893, in the meaning defined above

Time Traveler
The first known use of Galois theory was in 1893

Dictionary Entries Near Galois theory

Cite this Entry

“Galois theory.” Dictionary, Merriam-Webster, Accessed 1 Jun. 2023.

Last Updated: - Updated example sentences
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