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‘Orbital Glass’ Effects. 2. Hardness. Quantum Theory. Galois Groups

open access: yesMETALLOFIZIKA I NOVEISHIE TEKHNOLOGII
O. I. Mitsek, V. M. Pushkar
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Galois stratification and ACFA

open access: yesAnnals of Pure and Applied Logic, 2015
I. Tomasic
semanticscholar   +1 more source

An effective surjectivity of mod $l$ Galois representation of 1- and 2- dimensional abelian varieties with trivial endomorphism ring (Algebraic number theory and related topics)

open access: yesAn effective surjectivity of mod $l$ Galois representation of 1- and 2- dimensional abelian varieties with trivial endomorphism ring (Algebraic number theory and related topics)
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Effective Galois theory

Journal of Symbolic Logic, 1981
Krull [4] extended Galois theory to arbitrary normal extensions, in which the Galois groups are precisely the profinite groups (i.e. totally disconnected, compact, Hausdorff groups). Metakides and Nerode [7] produced two recursively presented algebraic extensionsK⊂Fof the rationals such thatFis abelian,Fis of infinite degree overK, and the Galois group
P. L. Roche
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Is Mathematics Unreasonably Effective?

, 2020
Many mathematicians, physicists, and philosophers have suggested that the fact that mathematics—an a priori discipline informed substantially by aesthetic considerations—can be applied to natural science is mysterious. This paper sharpens and responds to
Daniel Waxman
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The Lattice of Intermediate Fields and Other Preliminaries to Galois Theory

Formalized Mathematics
Summary This article initiates a series devoted to the formalization of the Fundamental Theorem of Galois Theory. It presents several preliminaries required for the formal development of Galois theory.
Christoph Schwarzweller   +1 more
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Normal bases of small height in Galois number fields

Research in Number Theory
Let K be a number field of degree d so that K/Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
L. Fukshansky, Sehun Jeong
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Pseudo-Kan Extensions and Descent Theory

Theory and Applications of Categories, 2016
There are two main constructions in classical descent theory: the category of algebras and the descent category, which are known to be examples of weighted bilimits.
Fernando Lucatelli Nunes
semanticscholar   +1 more source

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