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Ideal class group
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21	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
22	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
23	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
24	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
25	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
26	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
27	THE 4-CLASS GROUP OF REAL QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. S Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:59 Mathematics Quadratic field Discriminant Quaternion algebra Splitting of prime ideals in Galois extensions Algebraic number field Quadratic reciprocity Ideal class group Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
28	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
29	Sage Reference Manual: Algebraic Number Fields Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:20 Field theory Algebraic number field Sage Cyclotomic field Tensor product of fields Ideal class group Exponentiation Field extension Quadratic field Abstract algebra Algebra Algebraic number theory
30	Adv. appl. Cliﬀord alg[removed]), 665–676 c 2008 Birkh¨ auser Verlag Basel/Switzerland[removed]-12, published online May 27, 2008 DOI[removed]s00006[removed]y Add to Reading List Source URL: math.nd.edu Language: English - Date: 2010-01-22 10:34:09 Quadratic forms Algebraic number theory 15 and 290 theorems Quadratic polynomial Modular form Binary quadratic form Ideal class group Quadratic residue Smith–Minkowski–Siegel mass formula Abstract algebra Algebra Mathematics