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Algebraic groups
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301	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
302	MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 123–171 THE MULTIPLE ERGODICITY OF NONDISCRETE SUBGROUPS OF Diff ω (S 1 ) JULIO C. REBELO AND RADERSON R. SILVA Add to Reading List Source URL: www.ams.org Language: English - Date: 2003-05-20 08:05:40 Differential topology Lie groups Algebraic topology Differential geometry Hyperbolic geometry Ergodic theory Fuchsian group Diffeomorphism Pseudogroup Abstract algebra Topology Mathematics
303	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
304	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
305	SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:20:19 Algebraic number theory Modular arithmetic Quadratic residue Class field theory Quadratic reciprocity Reciprocity law Selmer group Algebraic number field Artin reciprocity law Abstract algebra Mathematics Number theory
306	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
307	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
308	HOMOTOPY GROUPS OF THE MODULI SPACE OF METRICS OF POSITIVE SCALAR CURVATURE BORIS BOTVINNIK, BERNHARD HANKE, THOMAS SCHICK, AND MARK WALSH Abstract. We show by explicit examples that in many degrees in a stable range the Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Mathematical physics Algebraic topology Differential topology Lemmas Morse theory Surgery theory Moduli space Differentiable manifold Diffeomorphism Abstract algebra Topology Mathematics
309	´ DUALITY IN P.A. SMITH THEORY POINCARE CHRISTOPHER ALLDAY, BERNHARD HANKE, AND VOLKER PUPPE Abstract. Let G = S 1 , G = Z/p or more generally G be a finite pgroup, where p is an odd prime. If G acts on a space whose co Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:02:12 Algebraic topology Betti number Topological graph theory Lefschetz fixed-point theorem Duality Inner product space Representation theory of finite groups Heat equation Mathematics Abstract algebra Algebra
310	THE STABLE FREE RANK OF SYMMETRY OF PRODUCTS OF SPHERES BERNHARD HANKE A BSTRACT. A well known conjecture in the theory of transformation groups states that if p is a prime and (Z/p)r acts freely on a product of k sphere Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Homotopy theory Homology theory Homological algebra Binary operations Cohomology Rational homotopy theory Cup product Chain complex Model category Abstract algebra Topology Algebraic topology

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