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Splitting field
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41	return to updates Splitting the Electron? No, not really by Miles Mathis Add to Reading List Source URL: milesmathis.com Language: English - Date: 2012-08-31 05:46:01 Atomic physics Spintronics Quantum electrodynamics Quantum field theory Electron Photon Spin Atomic orbital X-ray Physics Chemistry Quantum chemistry
42	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
43 $Prime ideal / Euclidean algorithm / Field theory / Prime numbers / Modular arithmetic / Partial fraction / Splitting field / Abstract algebra / Mathematics / Algebra$	Solutions Chapters 1–5 Section[removed]Under multiplication, the positive integers form a monoid but not a group, and the positive even integers form a semigroup but not a monoid. 2. With \|a\| denoting the order of a, we Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-12-24 22:45:51 Prime ideal Euclidean algorithm Field theory Prime numbers Modular arithmetic Partial fraction Splitting field Abstract algebra Mathematics Algebra
44	Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-05-07 12:04:09 Algebraic number theory Field theory Splitting of prime ideals in Galois extensions Artin reciprocity law Frobenius endomorphism Field Galois group Fundamental theorem of Galois theory Proofs of quadratic reciprocity Abstract algebra Algebra Galois theory
45	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
46	Galois closures for monogenic degree-4 extensions of rings Riccardo Ferrario [removed] Add to Reading List Source URL: www.algant.eu Language: English - Date: 2014-07-04 04:50:27 Splitting field Separable extension Field extension Field Galois group Galois theory Algebraic structure Polynomial Algebraic closure Abstract algebra Algebra Field theory
47	Universiteit Leiden Mathematisch Instituut Master thesis On local Galois module structure for cyclic extensions of prime degree Add to Reading List Source URL: www.algant.eu Language: English - Date: 2012-07-12 18:50:36 Galois theory Field theory Galois module Ramification Algebraic number field Field extension Field Different ideal Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
48	University of Bordeaux 1 algant master thesis Galois Representations Attached to Elliptic Curves Add to Reading List Source URL: www.algant.eu Language: English - Date: 2012-07-12 18:58:52 Elliptic curves Elliptic functions Class field theory Supersingular elliptic curve Galois module Algebraic number field Splitting of prime ideals in Galois extensions Complex multiplication J-invariant Abstract algebra Algebraic number theory Galois theory
49	Ordinary forms and their local Galois representations Eknath Ghate Abstract. We describe what is known about the local splitting behaviour of Galois representations attached to ordinary cuspidal eigenforms. We relate thi Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2005-06-28 06:18:24 Galois theory Field theory Analytic number theory Representation theory of Lie groups Frobenius endomorphism Modular form Algebraic number field P-adic number Finite field Abstract algebra Algebra Algebraic number theory
50	(March 1, [removed]Artin L-functions Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-03-01 09:49:10 Galois theory Class field theory Field theory Number theory Artin L-function Artin reciprocity law Frobenius endomorphism Splitting of prime ideals in Galois extensions Algebraic number field Abstract algebra Algebra Algebraic number theory

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