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Galois module
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#	Item
51	UNRAMIFIED QUATERNION EXTENSIONS OF QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Introduction The first mathematician who studied Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:51 Quaternion algebra Hilbert class field Splitting of prime ideals in Galois extensions Algebraic number field Quadratic field Normal extension Galois module Field extension Ramification Abstract algebra Algebra Algebraic number theory
52	Preliminary version July 7, 2011 II Universit` a degli Studi di Roma Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2011-07-12 14:25:38 Galois theory Splitting of prime ideals in Galois extensions Galois module Cyclic group Algebraic number field Inverse Galois problem Abstract algebra Algebra Algebraic number theory
53	GALOIS ACTION ON CLASS GROUPS FRANZ LEMMERMEYER Abstract. It is well known that the Galois group of an extension L/F puts constraints on the structure of the relative ideal class group Cl(L/F ). Explicit results, however Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Field theory Galois theory Class field theory Group theory Galois group Field extension Representation theory of finite groups Conductor Galois module Abstract algebra Algebra Algebraic number theory
54	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS II FRANZ LEMMERMEYER Abstract. We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:22 Hilbert class field Cubic field Tensor product of fields Galois module Kummer theory Conductor Field extension Ideal class group Quadratic field Abstract algebra Algebra Algebraic number theory
55	UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS A. MERKURJEV Abstract. We prove that if G is a reductive group over an algebraically closed field F , then for a prime integer p 6= char(F ), the group of unramified Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-24 17:55:06 Group theory Class field theory Galois module Galois theory Group homomorphism Representation theory Étale morphism Essential dimension Gelfand pair Abstract algebra Algebra Algebraic number theory
56	MOTIVES WITH EXCEPTIONAL GALOIS GROUPS AND THE INVERSE GALOIS PROBLEM arXiv:1112.2434v1 [math.NT] 12 Dec[removed]ZHIWEI YUN Add to Reading List Source URL: arxiv.org Language: English - Date: 2011-12-12 20:17:56 Algebraic geometry Group theory Field theory Homological algebra Galois module Motive Inverse Galois problem Elliptic curve Galois group Abstract algebra Algebra Galois theory
57	Algebraic Number Theory, a Computational Approach William Stein November 14, 2012 2 Add to Reading List Source URL: sage.math.washington.edu Language: English - Date: 2012-11-14 13:32:54 Field theory Galois theory Algebraic number field Class field theory Ideal class group Galois module Prime number Field Galois cohomology Abstract algebra Algebra Algebraic number theory
58	Fall[removed]EMISSARY Mathematical Sciences Research Institute www.msri.org Add to Reading List Source URL: www.msri.org Language: English - Date: 2014-11-11 11:33:47 Automorphic forms Algebraic number theory Representation theory of Lie groups Conjectures Class field theory Langlands program Galois module P-adic Hodge theory Representation theory Abstract algebra Mathematics Algebra
59	Department of Mathematics, University of California, San Diego ***************************** Math[removed]Number Theory Michelle Manes Add to Reading List Source URL: www.math.ucsd.edu Language: English - Date: 2014-10-02 19:28:20** Field theory Group theory Algebraic number theory Galois group Galois module Field Évariste Galois Fundamental theorem of Galois theory Galois extension Abstract algebra Algebra Galois theory
60	A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture arXiv:1407.1826v2 [math.NT] 17 Jul[removed]Manjul Bhargava, Christopher Skinner, and Wei Zhang Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-07-17 20:38:44 Number theory Elliptic curves Algebraic curves Algebraic number theory Group theory Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve P-adic number Galois module Abstract algebra Mathematics Algebra