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Splitting of prime ideals in Galois extensions
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11	J. Symbolic Computation, 97–112 doi:jscoAvailable online at http://www.idealibrary.com on Class Number Relations from a Computational Point of View Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2008-01-31 05:33:57 Algebra Abstract algebra Group theory Mathematics Index of a subgroup Regular icosahedron Conjugacy class Group action Algebraic number field Coset Splitting of prime ideals in Galois extensions Polar coordinate system
12	Infinite sums of Adams operations Sarah Whitehouse Bonn, SeptemberBased on joint work with Add to Reading List Source URL: sarah-whitehouse.staff.shef.ac.uk Language: English - Date: 2005-12-21 04:54:24 Algebra Abstract algebra Mathematics Algebraic number theory Ring Cohomology theories Homological algebra Steenrod algebra Splitting of prime ideals in Galois extensions
13	UNRAMIFIED QUATERNION EXTENSIONS OF QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Introduction The first mathematician who studied Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:51 Quaternion algebra Hilbert class field Splitting of prime ideals in Galois extensions Algebraic number field Quadratic field Normal extension Galois module Field extension Ramification Abstract algebra Algebra Algebraic number theory
14	Preliminary version July 7, 2011 II Universit` a degli Studi di Roma Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2011-07-12 14:25:38 Galois theory Splitting of prime ideals in Galois extensions Galois module Cyclic group Algebraic number field Inverse Galois problem Abstract algebra Algebra Algebraic number theory
15	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
16	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
17	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
18	Solutions to Problems Chapter 1 Section[removed]Multiply the equation by an−1 to get a−1 = −(cn−1 + · · · + c1 an−2 + c0 an−1 ) ∈ A. 2. Since A[b] is a subring of B, it is an integral domain. Thus if bz = Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-20 16:38:59 Number theory Algebraic number theory P-adic number Unique factorization domain Splitting of prime ideals in Galois extensions Μ operator Euclidean algorithm Abstract algebra Mathematics Algebra
19	Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-05-07 12:04:09 Algebraic number theory Field theory Splitting of prime ideals in Galois extensions Artin reciprocity law Frobenius endomorphism Field Galois group Fundamental theorem of Galois theory Proofs of quadratic reciprocity Abstract algebra Algebra Galois theory
20	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory

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