Galois theory

Results: 422



#Item
211Homological algebra / Galois theory / Matthias Flach / Year of birth missing / Motive / Elliptic curve / Tate–Shafarevich group / Galois module / Abstract algebra / Algebra / Algebraic geometry

Publications [1] M. Flach, Herleitung der Chowla-Selberg Formel aus Shimura’schen Periodenrelationen, Arch. Math[removed]), 418–[removed]] , Periods and special values of the hypergeometric series, Math. Proc. Camb. P

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Source URL: www.math.caltech.edu

Language: English - Date: 2011-04-11 21:27:03
212Group theory / Algebraic number theory / Galois theory / Algebraic topology / Galois module / Elliptic curve / Finite field / Galois group / Spectral sequence / Abstract algebra / Algebra / Field theory

Fields Institute Communications Volume 56, 2009 Local Galois Symbols on E × E Jacob Murre Department of Mathematics

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Source URL: www.math.caltech.edu

Language: English - Date: 2009-07-01 17:56:31
213Modular arithmetic / Algebraic number theory / Quadratic residue / Quadratic reciprocity / Prime number / Proofs of quadratic reciprocity / Trigonometry in Galois fields / Abstract algebra / Mathematics / Number theory

1 Appendices We collect some results that might be covered in a first course in algebraic number theory. A. Quadratic Reciprocity Via Gauss Sums

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Source URL: www.math.uiuc.edu

Language: English - Date: 2009-03-16 23:36:02
214Algebraic number theory / Field theory / Frobenius endomorphism / Galois theory / Valuation / Algebraic number field / Motive / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

On the local Tamagawa number conjecture for Tate motives Thesis by Jay Daigle

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Source URL: jaydaigle.net

Language: English - Date: 2014-05-30 09:47:57
215Number theory / Algebraic number theory / P-adic number / Unique factorization domain / Splitting of prime ideals in Galois extensions / Μ operator / Euclidean algorithm / Abstract algebra / Mathematics / Algebra

Solutions to Problems Chapter 1 Section[removed]Multiply the equation by an−1 to get a−1 = −(cn−1 + · · · + c1 an−2 + c0 an−1 ) ∈ A. 2. Since A[b] is a subring of B, it is an integral domain. Thus if bz =

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Source URL: www.math.uiuc.edu

Language: English - Date: 2009-03-20 16:38:59
216Field theory / Galois group / Group theory / Transcendental number / Operator theory / Algebraic number theory / Symbol / Spectral theory of ordinary differential equations / Abstract algebra / Algebra / Galois theory

Solutions Chapters 6–10 Section[removed]We have r1 = 2, r2 = 1, r3 = 1 so t1 = 1, t2 = 0, t3 = 1. The algorithm terminates in one step after after subtraction of (X1 + X2 + X3 )(X1 X2 X3 ). The given polynomial can be e

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Source URL: www.math.uiuc.edu

Language: English - Date: 2006-06-06 11:19:18
217Galois theory / Group theory / Algebraic number theory / Fundamental theorem of Galois theory / Galois group / Galois extension / Separable extension / Galois connection / Field / Abstract algebra / Algebra / Field theory

Chapter 6 Galois Theory 6.1 Fixed Fields and Galois Groups

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Source URL: www.math.uiuc.edu

Language: English - Date: 2006-08-28 17:41:55
218Algebraic 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

Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1

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Source URL: www.math.uiuc.edu

Language: English - Date: 2008-05-07 12:04:09
219Field 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

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

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Source URL: www.math.caltech.edu

Language: English - Date: 2005-07-19 11:40:28
220Group theory / Algebraic number theory / Galois theory / Algebraic topology / Galois module / Elliptic curve / Finite field / Galois group / Spectral sequence / Abstract algebra / Algebra / Field theory

Fields Institute Communications Volume 56, 2009 Local Galois Symbols on E × E Jacob Murre Department of Mathematics

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Source URL: www.math.caltech.edu

Language: English - Date: 2009-07-01 17:56:31
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