例句與造句

1. This is called the Frobenius automorphism of " F ".
2. A distinguished generator is provided by the Frobenius automorphism.
3. The Frobenius automorphism of does not fix the ground field, but its-th iterate does.
4. The points of that are defined over are those fixed by, where is the Frobenius automorphism in characteristic.
5. The Frobenius automorphism is important in number theory because it generates the Galois group of " F " over its prime subfield.
6. It's difficult to find frobenius automorphism in a sentence. 用frobenius automorphism造句挺難的
7. The reason for a careful terminology is that the Frobenius automorphism in Galois groups, or defined by transport of structure, is often the inverse mapping of the geometric Frobenius.
8. However, because the Frobenius automorphism is a generator of the Galois group of every finite extension of, it is a generator of every finite quotient of the absolute Galois group.
9. This difference can be traced to the properties of Frobenius automorphism and to the failure of the exponential map to establish a tight connection between properties of a modular Lie algebra and the corresponding algebraic group.
10. However unlike the case of finite fields, the Frobenius automorphism on \ overline { \ mathbf { F } _ p } has infinite order, and it does not generate the full group of automorphisms of this field.
11. Now my first question is : If it is said that the Frobenius automorphism fixes " h ( x ) " does it mean that the coefficients of " h ( x ) " are permuted.
12. For " p "-adic fields the Weil group is a dense subgroup of the absolute Galois group, and consists of all elements whose image in the Galois group of the residue field is an integral power of the Frobenius automorphism.
13. Using the elementary polynomial arithmetic, the computation of the matrix of the Frobenius automorphism needs O ( n ^ 2 ( n + \ log q ) ) operations in "'F " "'q ", the computation of
14. For a local field of characteristic " p " > 0, the Weil group is the subgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field ( the union of all finite subfields ).
15. For global fields of characteristic " p " > 0 ( function fields ), the Weil group is the subgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field ( the union of all finite subfields ).
16. The multiplicative group of F, together with the Frobenius automorphism x \ mapsto x ^ q generate a group of automorphisms of F of the form C _ n \ ltimes C _ { q ^ n-1 }, where C _ k is the cyclic group of order k.
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