Galois theory

Results: 422



#Item
271Galois theory / Field theory / Group theory / Analytic number theory / Galois module / Algebraic number field / Elliptic curve / Cyclotomic character / Splitting of prime ideals in Galois extensions / Abstract algebra / Algebra / Algebraic number theory

APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F

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Source URL: www-irma.u-strasbg.fr

Language: English - Date: 2008-11-21 08:07:51
272Évariste Galois / Mathematics / Galois theory / Algebraic number theory / Galois module

JF Boutot, J Tilouine and I are organizing a ”Mini-Conference” of the European Research Training Network ”Arithmetic Algebraic Geometry” in Strasbourg 4-8 July 2005 on ”Galois Representations”. Part of the co

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Source URL: www-irma.u-strasbg.fr

Language: English - Date: 2004-12-15 11:18:10
273Field theory / Galois theory / Representation theory / Class field theory / Galois module / Algebraic number field / Finite field / Group representation / Prime number / Abstract algebra / Algebra / Algebraic number theory

SERRE’S MODULARITY CONJECTURE (I) CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER to Jean-Pierre Serre Abstract. This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the

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Source URL: www-irma.u-strasbg.fr

Language: English - Date: 2008-10-20 11:47:03
274Algebraic number field / Iwasawa theory / Finite field / Torsion / Galois group / Field / Valuation / Elliptic curve / Inverse Galois problem / Abstract algebra / Algebra / Field theory

RAMIFICATION IN IWASAWA MODULES CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER Abstract. We make a reciprocity conjecture that extends Iwasawa’s analogy of direct limits of class groups along the cyclotomic tower of

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Source URL: www-irma.u-strasbg.fr

Language: English - Date: 2010-11-24 09:46:58
275Order theory / Philosophical logic / Predicate logic / Deduction / Formal methods / Entailment / Abstract interpretation / First-order logic / Galois connection / Mathematics / Logic / Mathematical logic

Abstract Satisfaction Vijay D’Silva Leopold Haller Daniel Kroening

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Source URL: www.kroening.com

Language: English - Date: 2014-05-29 09:55:04
276Modular forms / Galois theory / Algebraic number theory / Character theory / J-invariant / Frobenius endomorphism / Elliptic curve / Representation theory of finite groups / Orbifold / Abstract algebra / Mathematical analysis / Analytic number theory

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 14, Number 4, Pages 843–939 S[removed][removed]Article electronically published on May 15, 2001

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Source URL: math.stanford.edu

Language: English - Date: 2002-05-08 14:25:18
277Field theory / Algebraic number field / Adele ring / Galois module / Field / Ideal class group / Prime number / Class field theory / Ramification / Abstract algebra / Algebra / Algebraic number theory

A Brief Introduction to Classical and Adelic Algebraic Number Theory William Stein (based heavily on works of Swinnerton-Dyer and Cassels) May 2004

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Source URL: modular.math.washington.edu

Language: English - Date: 2004-05-06 12:46:02
278Constructible number / Compass and straightedge constructions / Field extension / Simple extension / Field / Galois theory / Fundamental theorem of algebra / Minimal polynomial / Normal extension / Abstract algebra / Algebra / Field theory

Course 311: Abstract Algebra Academic year[removed]D. R. Wilkins c David R. Wilkins 1997–2007 Copyright

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Source URL: www.maths.tcd.ie

Language: English - Date: 2008-01-31 10:23:17
279Galois group / Finite field / Normal extension / Galois theory / Field extension / Discriminant / Fundamental theorem of algebra / Splitting field / Separable polynomial / Abstract algebra / Algebra / Field theory

Course 311, Part IV: Galois Theory Problems Hilary Term[removed]Use Eisenstein’s criterion to verify that the following polynomials are irreducible over Q:— (i ) t2 − 2;

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Source URL: www.maths.tcd.ie

Language: English - Date: 2006-03-16 12:03:53
280Galois group / Normal extension / Finite field / Galois theory / Field extension / Discriminant / Splitting field / Fundamental theorem of algebra / Polynomial / Abstract algebra / Algebra / Field theory

Course 311: Galois Theory Problems Academic Year 2007–8 1. Use Eisenstein’s criterion to verify that the following polynomials are irreducible over Q:— (i ) x2 − 2;

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Source URL: www.maths.tcd.ie

Language: English - Date: 2008-01-31 11:03:39
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