galois group of a field in Vietnamese

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Sentence patterns related to "galois group of a field"

1. Class field theory is a branch of algebraic number theory which seeks to classify all the abelian extensions of a given algebraic number field, meaning Galois extensions with abelian Galois group.

2. A Vector Galois Field Multiply Sum and Accumulate instruction.

3. In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian.

4. Thus, we obtain the global reciprocity map of the idele class group to the abelian part of the absolute Galois group of the field.

5. The product of the local reciprocity maps in local class field theory gives a homomorphism of the idele group to the Galois group of the maximal abelian extension of the number or function field.

6. Local class field theory of characteristic p>0: The module A is the separable algebraic closure of the field of formal Laurent series over a finite field, and G is the Galois group.

7. Vector galois field multiply sum and accumulate instruction

8. It also involves finding algebraic number fields which admit a Galois extension with Galois group isomorphic to a free pro-p on n generators.

9. In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory.

10. Curriculum is a group of courses offered in a particular field of study

11. In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the field.

12. In the 1980s with Kay Wingberg he completely described the absolute Galois group of p-adic number fields, i.e. in the local case.

13. The Brauer group of a finite extension of a quasi-algebraically closed field is trivial.

14. A group of fans spat on the players as they left the field.

15. The focus of this group is field Botany in Illinois

16. This is a result of Galois theory (see Quintic equations and the Abel–Ruffini theorem).

Đó là kết quả của lý thuyết Galois (xem phương trình bậc năm và định lý Abel-Ruffini).

17. In group theory, a sub-field of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups.

18. Lie's idée fixe was to develop a theory of symmetries of differential equations that would accomplish for them what Évariste Galois had done for algebraic equations: namely, to classify them in terms of group theory.

19. Number theory, field theory, algebraic geometry, algebra, group theory

20. This line of work ultimately resulted, through the work of Évariste Galois, in Galois theory, which gives a complete description of what is possible and impossible with respect to solving polynomial equations (in one unknown) by radicals.

21. Generally speaking, negation is an automorphism of any abelian group, but not of a ring or field.

22. General info and Field of Use: Bromine is part of the Halogen group

23. "Apatite" is a field term for unidentified calcium phosphate members of the Apatite group

24. In mathematics, the Satake isomorphism, introduced by Satake (1963), identifies the Hecke algebra of a reductive group over a local field with a ring of invariants of the Weyl group.

25. 15 min: “How to Benefit From Your Field Service Group.”