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Galois theory
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181	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
182	The class number one problem for some non-abelian normal CM-fields of degree 24 Franz Lemmermeyer Bilkent University, Dept. Mathematics[removed]Bilkent, Ankara, Turkey Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:48 Algebraic number theory Galois group Algebraic number field Conductor Finite field Cubic field Field Kummer theory Ramification group Abstract algebra Algebra Field theory
183	Postscript Helmut Koch, Franz Lemmermeyer During the 30 years since the publication of the German original of this book, the theory of pro-p extensions was flourishing: new results were proved, new insights gained, and Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 14:17:16 Algebraic number theory Field theory Class field theory Group theory Golod–Shafarevich theorem Hilbert class field Algebraic number field Ramification group Field arithmetic Abstract algebra Algebra Galois theory
184	GALOIS GROUPS ATTACHED TO POINTS OF FINITE ORDER ON ELLIPTIC CURVES ` SERRE) OVER NUMBER FIELDS (D’APRES ´ JACQUES VELU Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:08 Elliptic curve Subgroup Symmetric group Projective linear group Fundamental theorem of Galois theory Abstract algebra Algebra Group theory
185	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
186	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
187	An Interpretation of some congruences concerning Ramanujan’s τ -function Jean-Pierre Serre September 11, [removed] Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:00 Modular arithmetic Algebraic number theory Quadratic residue Finite fields Galois theory Frobenius endomorphism Prime number Elliptic curve Abstract algebra Mathematics Number theory
188	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
189	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
190	Concrete and Abstract Interpretation: Better Together Maria Jenkins Leif Andersen Add to Reading List Source URL: homes.soic.indiana.edu Language: English - Date: 2014-11-04 14:23:47 Abstract interpretation Galois connection Order theory Model theory Galois theory Structure Abstract algebra Mathematics Algebra

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