Field theory and polynomials Galois theory Concept
Galois group
Summary
The Galois group of a field extension is the group of the automorphisms of that fix every element of . The definition of the Galois group gives the details.
Where this leads
11 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Galois_group, lead section
About this page
| Tag | 0XTY86BZKY |
|---|---|
| URI | m2://0XTY86BZKY |
| Kind | concept |
| Writing | W1 stated |
| MSC | 12F10 |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- Kummer theory
- Selmer group
- Tate–Shafarevich group
- Iwasawa theory
- Decomposition group
- Frobenius element
- Crossed product algebra
- Galois representation
- Kummer–Artin–Schreier–Witt theory
- Chebotarev's density theorem
- Ramification group