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Ideal class group
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31	Chapter 3 Dedekind Domains 3.1 The Deﬁnition and Some Basic Properties Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-08-08 00:31:00 Ring theory Ideals Algebraic number theory Fractional ideal Dedekind domain Ideal class group Ideal Principal ideal domain Principal ideal Abstract algebra Algebra Commutative algebra
32	Chapter 5 The Ideal Class Group We will use Minkowski theory, which belongs to the general area of geometry of numbers, to gain insight into the ideal class group of a number ﬁeld. We have already mentioned the ideal Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:00:49 Algebraic number theory Ideal Lp space Μ operator Discriminant of an algebraic number field Abstract algebra Algebra Mathematics
33	Table of Contents Chapter 1 Introduction 1.1 Integral Extensions Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:30:52 Quadratic field Ideal class group Dedekind domain Unique factorization domain Extension Prime number Cyclotomic field Algebraic number field Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
34	Results from MathSciNet: Mathematical Reviews on the Web c Copyright American Mathematical Society 2006 MR2135478 (Review[removed]Everest, Graham (4-EANG) ; Ward, Thomas (4-EANG) Add to Reading List Source URL: maths.dur.ac.uk Language: English - Date: 2006-07-21 11:34:49 Ring theory Algebraic number theory Number theory Commutative algebra Prime number Gaussian integer Number Ring Ideal class group Abstract algebra Mathematics Algebra
35	Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2004-10-19 06:36:06 Algebraic number theory Analytic number theory Elliptic curve Quadratic form Algebraic number field Transcendental number Algebraic integer Ideal class group Prime number Abstract algebra Mathematics Algebra
36	(January 19, [removed]Fujisaki’s lemma, units theorem, class number Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-01-19 17:58:51 Algebraic number theory Takagi existence theorem class field theory Compact space Adelic algebraic group Ideal Coset Algebraic number field Abstract algebra Topology Mathematics
37	C. Khare and D. Prasad Nagoya Math. J. Vol[removed]), 1–15 ON THE STEINITZ MODULE AND CAPITULATION OF IDEALS Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 20:45:17 Hilbert class field Algebraic number field Ideal class group Dedekind domain Class field theory Principal ideal Vector bundle Projective module Ideal Abstract algebra Algebra Algebraic number theory
38	March 17, [removed]:45 WSPC/INSTRUCTION FILE Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:12 Algebraic number theory Field theory Algebraic numbers Modular arithmetic Quadratic residue Algebraic number field Root of unity Ideal class group Prime number Abstract algebra Mathematics Algebra
39	A Brief Introduction to Classical and Adelic Algebraic Number Theory William Stein (based heavily on works of Swinnerton-Dyer and Cassels) May 2004 Add to Reading List Source URL: modular.math.washington.edu Language: English - Date: 2004-05-06 12:46:02 Field theory Algebraic number field Adele ring Galois module Field Ideal class group Prime number Class field theory Ramification Abstract algebra Algebra Algebraic number theory
40	MP473 Examination, November 2000 Time: 3 hours Answer all questions 1. (a) Explain what is meant by the statements: (i) K is an algebraic number field of degree n, (ii) ω1 , . . . , ωn is an integral basis for K, Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-11-16 18:40:58 Algebraic number theory Constructible universe Ideal class group Euclidean algorithm Field norm Abstract algebra Mathematics Algebra