Word Pronunciation & Dictionary

galois group

Word Rarity Very rare

Frequency: Zipf frequency 2.15 in modern English

Syllables: ga-lois -group
IPA

15

Scrabble Score

11

Letters

3

Syllables

9

Unique Chars

Meaning

noun

The automorphism group of a Galois extension.

Example Sentences

"In this section, we show how to determine the Galois group and the roots of an irreducible polynomial of degree 2, 3, or 4."
"Let B be a Galois algebra over R with Galois group G, C the center of B, and K#61;#92;#123;g#92;inG#92;vertg(c)#61;c#92;#92;mathsf#123;for#92;each#125;#92;c#92;inC#92;#125;. A natural question is whether B is a central Galois algebra with Galois group K."
"Our work actually gives an algorithm for computing Galois groups of polynomials f(X)#92;in#92;Q#91;X#93;:"

Etymology

Named after Évariste Galois, who first discovered them.

Inflected Forms

Galois groups (plural)

Phrases

Galois algebra Galois closure Galois extension Galois theory

Frequently Paired Words

Galois algebra Galois closure Galois extension Galois theory

Questions

What does galois group mean?: The automorphism group of a Galois extension.
Where does galois group come from?: Named after Évariste Galois, who first discovered them.

How to pronounce galois group

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