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Abelian extension
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#	Item
31	A SHINTANI-TYPE FORMULA FOR GROSS–STARK UNITS OVER FUNCTION FIELDS SAMIT DASGUPTA ALISON MILLER Abstract. Let F be a totally real number field of degree n, and let H be a finite abelian extension of F . Let p denote a Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2009-09-15 17:09:34 Field theory Algebraic number theory Algebraic number field Brumer–Stark conjecture Finite field Field Dirichlet series Frobenius endomorphism Spectral theory of ordinary differential equations Abstract algebra Algebra Mathematics
32	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
33	Simple geometrically split abelian surfaces over finite fields Kuo-Ming James Chou and Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2014-02-22 14:58:07 Group theory Polynomials Finite field Elliptic curve Field extension Irreducible polynomial Field Supersingular elliptic curve Galois theory Abstract algebra Algebra Field theory
34	Products of CM elliptic curves Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2010-08-03 19:29:47 Kernel Elliptic curve Quotient group Ideal Isogeny Localization of a category Abelian variety Group scheme Group extension Abstract algebra Algebra Group theory
35	1 1. FUNDAMENTALS E. L. Lady May 14, 1998 Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:29 Homological algebra Commutative algebra Algebraic number theory Torsion Divisible group Abelian group Finitely-generated module Dedekind domain Essential extension Abstract algebra Algebra Module theory
36	Fields and Galois Theory J.S. Milne Version 4.30, April 15, 2012 These notes give a concise exposition of the theory of fields, including Add to Reading List Source URL: www.jmilne.org Language: English - Date: 2012-04-15 16:51:59 Galois theory Algebraic number theory Group theory Algebraic structures Field Galois group Algebraic extension Abelian extension Évariste Galois Abstract algebra Algebra Field theory
37	Simple geometrically split abelian surfaces over finite fields Kuo-Ming James Chou and Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2010-07-12 11:39:03 Field theory Polynomials Finite field Elliptic curve Field extension Irreducible polynomial Field Supersingular elliptic curve Abstract algebra Algebra Mathematics
38	[removed]BOOK REVIEWS Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:47:24 Field theory Class field theory Class number formula Complex multiplication Algebraic number field Quadratic field Ideal class group Abelian extension Number theory Abstract algebra Algebra Algebraic number theory
39	SEMIPRIMITIVITY OF GROUP ALGEBRAS: A SURVEY Add to Reading List Source URL: www.math.wisc.edu Language: English - Date: 2010-02-10 18:22:16 Solvable group Fitting subgroup Abelian group Quotient group Normal subgroup Group ring Sylow theorems HNN extension Abstract algebra Algebra Group theory
40	A Cohomological Viewpoint on Elementary School Arithmetic Daniel C. Isaksen The American Mathematical Monthly, Vol. 109, No. 9. (Nov., 2002), pp[removed]. Add to Reading List Source URL: www.math.wayne.edu Language: English - Date: 2007-12-11 21:11:10 Homological algebra Algebraic number theory Cohomology theories Algebraic structures Group cohomology Cohomology Abelian group Group extension Group homomorphism Abstract algebra Algebra Group theory