๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On normal integral bases of local fields

โœ Scribed by Fuminori Kawamoto


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
134 KB
Volume
98
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Finding Normal Integral Bases of Cyclic
โœ Vincenzo Acciaro; Claus Fieker ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

Let L be a cyclic number field of prime degree p. In this paper we study how to compute efficiently a normal integral basis for L, if there is at least one, assuming that an integral basis ฮ“ for L is known. We reduce our problem to the problem of finding the generator of a principal ideal in the pth

On the Density of Normal Bases in Finite
โœ Gudmund Skovbjerg Frandsen ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

## Let % O L denote the "nite "eld with qL elements, for q a prime power. % O L may be regarded as an n-dimensional vector space over % O . 3% O L generates a normal basis for this vector space (% O L :% O ), if + , O, q , 2 , O L\ , are linearly independent over % O . Let N O (n) denote the numbe

Unramified Quadratic Extensions of Real
โœ A Srivastav; S Venkataraman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

Let K=Q(-m) be a real quadratic number field. In this article, we find a necessary and sufficient condition for K to admit an unramified quadratic extension with a normal integral basis distinct from K(-&1), provided that the prime 2 splits neither in Kร‚Q nor in Q(-&m)ร‚Q, in terms of a congruence sa

Existence of Integral Bases for Relative
โœ XianKe Zhang; FuHua Xu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 303 KB

Suppose that L#K are abelian extensions of the rationals Q with Galois groups (Zร‚q s Z) n and (Zร‚q r Z) m , respectively, q any prime number. It is proved that Lร‚K has a relative integral basis under certain simple conditions. In particular, [L : K] q s or q s +1 (according to q is odd or even) is e