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671	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
672	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
673	Transforming Curves on Surfaces Redux Jeff Erickson∗ Kim Whittlesey University of Illinois, Urbana-Champaign† Add to Reading List Source URL: web.engr.illinois.edu Language: English - Date: 2012-07-03 17:33:23 Algebraic topology Topological spaces Topological graph theory Geometric group theory Fundamental group Homotopy Contractible space Shortest path problem Out Topology Mathematics Homotopy theory
674	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
675	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
676	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
677	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
678	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
679	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
680	EQUIVARIANT GYSIN MAPS AND PULLING BACK FIXED POINTS BERNHARD HANKE AND VOLKER PUPPE Dedicated to William Browder on the occasion of his 70th birthday Abstract. We develop a new approach to the pulling back fixed points Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Algebraic topology Differential topology Fiber bundles Homotopy theory Group actions Degree of a continuous mapping Vector bundle Sheaf Cohomology Abstract algebra Topology Algebra

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