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class field theory
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101	ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-22 07:56:02 Field theory Galois theory Quadratic field Algebraic number field Class field theory Ideal class group Kummer theory Galois group Artin reciprocity law Abstract algebra Algebra Algebraic number theory
102	REAL QUADRATIC FIELDS WITH ABELIAN 2-CLASS FIELD TOWER ELLIOT BENJAMIN DEPARTMENT OF MATHEMATICS UNITY COLLEGE, UNITY, ME[removed]AND Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-25 13:48:58 Class number formula Quadratic field Discriminant Ideal class group Field extension Quaternion algebra Genus field Algebraic number field Class field theory Abstract algebra Algebra Algebraic number theory
103	Dedekind’s treatment of Galois theory in the Vorlesungen Edward T. Dean December 14, 2009 Technical Report No. CMU-PHIL-184 Philosophy Add to Reading List Source URL: www.hss.cmu.edu Language: English - Date: 2009-12-14 14:03:42 Algebraic number theory Group theory Galois theory Fundamental theorem of Galois theory Algebraic number field Field Ideal class group Real number Galois group Abstract algebra Algebra Field theory
104	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
105	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
106	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
107	Quantum field theory and symmetry reduced models J. Engle Class. Quantum Gravity 23, [removed], Add to Reading List Source URL: www.gravity.psu.edu Language: English - Date: 2006-09-06 11:29:09 Loop quantum gravity Conservation laws Quantum mechanics Quantum field theory Embedding Group Loop quantum cosmology Physics Symmetry Theoretical physics
108	Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2010-09-17 08:27:56 Field theory Algebraic structures Ideal class group Ideals Elliptic curve Tate–Shafarevich group Algebraic number field Field Discriminant of an algebraic number field Abstract algebra Algebra Algebraic number theory
109	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:20 Class field theory Quadratic forms Field theory Conductor Class number formula Field extension Algebraic number field Tensor product of fields Signature Abstract algebra Algebra Algebraic number theory
110	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