Galois group
Galois group noun: the automorphism group of a Galois extension.
Noun
Galois group (plural Galois groups)
- The automorphism group of a Galois extension.
- In this section, we show how to determine the Galois group and the roots of an irreducible polynomial of degree 2, 3, or 4.1996, Patrick Morandi, Field and Galois Theory, Springer, page 123
- 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.2004, George Szeto, Liangyong Xue, “On Central Galois Algebras of a Galois Algebra”, in Alberto Facchini, Evan Houston, Luigi Salce, editors, Rings, Modules, Algebras, and Abelian Groups, CRC Press...
Galois group meaning in Tamil and Arabic
Galois group in Tamil
- கலோயிஸ் குலம்
Galois group in Arabic
- specific group associated with a field extension
- زمرة غالوا
Forms of Galois group
| plural | Galois groups |
|---|
Origin of Galois group
Named after Évariste Galois, who first discovered them.
Questions about Galois group
- What does Galois group mean?
- Galois group means the automorphism group of a Galois extension.
- What is Galois group in Tamil?
- Galois group in Tamil is கலோயிஸ் குலம். See Galois group meaning in Tamil.
- What part of speech is Galois group?
- Galois group is a noun.
- What is the plural of Galois group?
- The plural of Galois group is Galois groups.
Words near Galois group in the dictionary
Source and license
Adapted from Wiktionary: Galois group (page history and authors); galois group (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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