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Hilbert class field
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1	SCHEMES OF LATTICES WILLIAM J. HABOUSH Let k denote the algebraic closure of the field with p elements. Then K, the fraction field of the ring of Witt vectors over k is the local Hilbert class field. Let O denote ring of Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2007-02-04 11:17:16
2	Class Field Theory in Characteristic p, its Origin and Development Peter Roquette ∗ Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2004-11-03 10:19:07 Algebra Helmut Hasse Class field theory David Hilbert Emmy Noether Reciprocity law Emil Artin Zahlbericht Field Abstract algebra Mathematics Algebraic number theory
3	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
4	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
5	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
6	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
7	ON 2-CLASS FIELD TOWERS OF SOME IMAGINARY QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2, 2, 2) whose Hilbert 2-cla Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:05 Class field theory Field theory Artin reciprocity law Hilbert class field Class number formula Field extension Conductor Algebraic number field Normal extension Abstract algebra Algebra Algebraic number theory
8	ON LOCAL GALOIS REPRESENTATIONS ASSOCIATED TO ORDINARY HILBERT MODULAR FORMS BASKAR BALASUBRAMANYAM, EKNATH GHATE, AND VINAYAK VATSAL Abstract. Let F be a totally real field and p be an odd prime which splits completely Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2013-03-21 00:47:34 Field theory Galois theory Class field theory Analytic number theory Artin reciprocity law Algebraic number field Galois module Modular form P-adic number Abstract algebra Algebra Algebraic number theory
9	Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 21:06:58 Representation theory of Lie groups Automorphic forms Representation theory Cuspidal representation Conjectures Number theory Modular form Algebraic number field Weil group Abstract algebra Algebra Class field theory
10	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

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