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Galois extension
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31	UNIFORM FIRST-ORDER DEFINITIONS IN FINITELY GENERATED FIELDS BJORN POONEN Abstract. We prove that there is a first-order sentence in the language of rings that is true for all finitely generated fields of characteristic Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic number theory Galois theory Algebraic curves Analytic number theory Elliptic curve Frobenius endomorphism Finite field Field extension Supersingular elliptic curve Abstract algebra Algebra Field theory
32	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
33	Theory and Applications of Categories, Vol. 29, No. 7, 2014, pp. 198214. A GALOIS THEORY FOR MONOIDS Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-05-01 12:40:00 Semigroup theory Morphisms Category theory Epimorphism Formal languages Monoid Free monoid Field extension Five lemma Abstract algebra Algebra Mathematics
34	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
35	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
36	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
37	CLASS GROUPS OF DIHEDRAL EXTENSIONS FRANZ LEMMERMEYER Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we w Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:23 Frobenius group Field extension Normal extension Algebraic number theory Class field theory Galois theory Discriminant of an algebraic number field Abstract algebra Field theory Algebra
38	1. The Theory of Galois Extensions 1.1 The Galois Group In the first two sections we will develop the algebraic foundations of the theory. The fields we are treating are not necessarily algebraic number fields of finite Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:24:33 Galois theory Group theory Algebraic number theory Fundamental theorem of Galois theory Galois group Galois extension Automorphism Quotient group Field Abstract algebra Algebra Field theory
39	Automorphisms of even unimodular lattices and unramified Salem numbers Benedict H. Gross and Curtis T. McMullen 1 January, 2002 Abstract Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2010-04-02 19:43:40 Polynomials Quadratic forms Linear algebra Algebraic number field Monic polynomial Field extension Cyclotomic polynomial Irreducible polynomial Inverse Galois problem Algebra Mathematics Abstract algebra
40	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

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