Galois Theory and Its Algebraic Background

2021 ◽  
Author(s):  
D. J. H. Garling
Keyword(s):  
Galois Theory

Field Extensions and Galois Theory

1984 ◽  
Author(s):  
Julio R. Bastida ◽  
Roger Lyndon
Keyword(s):  
Galois Theory ◽  
Field Extensions

Galois theory of equations

1972 ◽  
pp. 243-266
Author(s):  
R. Kochendörffer
Keyword(s):  
Galois Theory

A galois theory for the banach algebra of continuous symmetric functions on absolute galois groups

2004 ◽  
Vol 45 (3-4) ◽  
pp. 349-358 ◽  
Author(s):  
Angel Popescu ◽  
Nicolae Popescu ◽  
Alexandru Zaharescu
Keyword(s):  
Banach Algebra ◽  
Symmetric Functions ◽  
Galois Theory ◽  
Galois Groups

scholarly journals Clifford theory and Galois theory, I

2008 ◽  
Vol 319 (2) ◽  
pp. 779-799 ◽  
Author(s):  
Everett C. Dade
Keyword(s):  
Galois Theory ◽  
Clifford Theory

scholarly journals GALOIS THEORY OF THE CANONICAL THETA STRUCTURE

2011 ◽  
Vol 07 (01) ◽  
pp. 173-202
Author(s):  
ROBERT CARLS
Keyword(s):  
Galois Theory ◽  
Theoretical Foundation ◽  
Abelian Varieties ◽  
Geometric Mean ◽  
Null Point ◽  
Point Counting ◽  
Characteristic 2 ◽  
Theoretic Characterization ◽  
Generalized Arithmetic

In this article, we give a Galois-theoretic characterization of the canonical theta structure. The Galois property of the canonical theta structure translates into certain p-adic theta relations which are satisfied by the canonical theta null point of the canonical lift. As an application, we prove some 2-adic theta identities which describe the set of canonical theta null points of the canonical lifts of ordinary abelian varieties in characteristic 2. The latter theta relations are suitable for explicit canonical lifting. Using the theory of canonical theta null points, we are able to give a theoretical foundation to Mestre's point counting algorithm which is based on the computation of the generalized arithmetic geometric mean sequence.

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