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Kummer theory
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11	Cyclic polynomials arising from Kummer theory of norm tori Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Field theory Class field theory Kummer theory Cyclotomic fields Abelian extension Algebraic number field Ernst Kummer Abstract algebra Algebraic number theory Algebra
12	Introduction Kummer theory An illustration by an example Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:51 Field theory Group theory Galois theory Algebraic structures Metacyclic group Frobenius group Kummer theory Galois group Abelian extension Abstract algebra Algebra Algebraic number theory
13	Introduction Kummer theory First example Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Galois theory Group theory Field theory Class field theory Metacyclic group Frobenius group Kummer theory Galois group Abelian extension Abstract algebra Algebra Algebraic number theory
14	On metacyclic extensions ∗ Masanari Kida† 1 Introduction Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Galois theory Group theory Algebraic number theory Galois group Frobenius group Algebraic torus Kummer theory Field extension Metacyclic group Abstract algebra Algebra Field theory
15	Kummer theory for D5-extensions Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Kummer theory Polynomial Quintic function Field Splitting field Elliptic curve Class field theory Abstract algebra Algebra Field theory
16	25th Journes Arithmtiques, July 2–6, 2007, University of Edinburgh and ICMS, Edinburgh, Scotland, UK DESCENT KUMMER THEORY VIA WEIL RESTRICTION OF MULTIPLICATIVE GROUPS MASANARI KIDA Add to Reading List Source URL: matha.e-one.uec.ac.jp - Date: 2011-07-06 20:43:51
17	Advanced Topics in Computational Number Theory Henri Cohen This book is a sequel to the author’s earlier work A Course in Computational Algebraic Number Theory which first appeared in 1993, and immediately became the d Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:44 Field theory Algebraic structures Group theory Class field theory Number theory Kummer theory Integer factorization Dedekind domain Algebraic number field Abstract algebra Algebra Algebraic number theory
18	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
19	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
20	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

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