Galois realizations with inertia groups of order two
نویسندگان
چکیده
منابع مشابه
Galois Realizations of Classical Groups and the Middle Convolution
Up to date, the middle convolution is the most powerful tool for realizing classical groups as Galois groups over Q(t). We study the middle convolution of local systems on the punctured affine line in the setting of singular cohomology and in the setting of étale cohomology. We derive a formula to compute the topological monodromy of the middle convolution in the general case and use it to dedu...
متن کاملM ar 2 00 6 AUTOMATIC REALIZATIONS OF GALOIS GROUPS WITH CYCLIC QUOTIENT OF ORDER p n
We establish automatic realizations of Galois groups among groups M ⋊ G, where G is a cyclic group of order p for a prime p and M is a quotient of the group ring Fp[G]. The fundamental problem in inverse Galois theory is to determine, for a given field F and a given profinite group G, whether there exists a Galois extension K/F such that Gal(K/F ) is isomorphic to G. A natural sort of reduction...
متن کاملGalois groups of first order theories
We study the groups GalL(T ) and GalKP (T ), and the associated equivalence relations EL and EKP , attached to a first order theory T . An example is given where EL 6= EKP (a non G-compact theory). It is proved that EKP is the composition of EL and the closure of EL. Other examples are given showing this is best possible.
متن کاملGalois Groups of Rst Order Theories
We study the groups Gal L (T) and Gal KP (T), and the associated equivalence relations E L and E KP , attached to a rst order theory T.
متن کاملThe First Two Cohomology Groups of Some Galois Groups
We investigate the first two Galois cohomology groups of p-extensions over a base field which does not necessarily contain a primitive pth root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo pnth powers of a related field, and we obtain transparent proofs and slight generalizations of some classical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2018
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s179304211850118x