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Algebraic extension
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91	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:20 Class field theory Quadratic forms Field theory Conductor Class number formula Field extension Algebraic number field Tensor product of fields Signature Abstract algebra Algebra Algebraic number theory
92	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
93	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
94	CLASS GROUPS OF DIHEDRAL EXTENSIONS FRANZ LEMMERMEYER Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we w Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:23 Frobenius group Field extension Normal extension Algebraic number theory Class field theory Galois theory Discriminant of an algebraic number field Abstract algebra Field theory Algebra
95	1. The Theory of Galois Extensions 1.1 The Galois Group In the first two sections we will develop the algebraic foundations of the theory. The fields we are treating are not necessarily algebraic number fields of finite Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:24:33 Galois theory Group theory Algebraic number theory Fundamental theorem of Galois theory Galois group Galois extension Automorphism Quotient group Field Abstract algebra Algebra Field theory
96	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
97	WITT EQUIVALENCE OF FUNCTION FIELDS OVER GLOBAL FIELDS PAWEL GLADKI AND MURRAY MARSHALL Abstract. Witt equivalent ﬁelds can be understood to be ﬁelds having the same symmetric bilinear form theory. Witt equivalence o Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2015-02-03 10:52:41 Valuation Field extension Quadratic form Algebraic number field Clifford algebra Approximately finite dimensional C*-algebra Abstract algebra Algebra Field theory
98	UNITARY GRASSMANNIANS OF DIVISION ALGEBRAS NIKITA A. KARPENKO Abstract. We consider a central division algebra over a separable quadratic extension of a base field endowed with a unitary involution and prove 2-incompress Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-08-22 06:04:43 Algebraic geometry Differential geometry Lie groups Homological algebra Generalized flag variety Unitary group Clifford algebra D-module Involution Abstract algebra Algebra Mathematics
99	GENERIC ALGEBRAS: RATIONAL PARAMETRIZATION AND NORMAL FORMS VLADIMIR L. POPOV∗ Abstract. For every algebraically closed field k of characteristic different from 2, we prove the following: Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-12-02 11:29:45 Ring theory Group theory Linear algebra Vector space Vectors Von Neumann algebra Algebraic variety Field extension Algebraic extension Algebra Abstract algebra Mathematics
100	LOWER BOUNDS FOR ESSENTIAL DIMENSIONS IN CHARACTERISTIC 2 VIA ORTHOGONAL REPRESENTATIONS A. BABIC AND V. CHERNOUSOV Abstract. We give a lower bound for the essential dimension of a split simple algebraic group of “adjo Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-20 18:07:56 Mathematics Orthogonal group Essential dimension Representation theory Field extension Clifford algebra Approximately finite dimensional C*-algebra Algebra Abstract algebra Quadratic forms