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Abelian
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561	Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:25 Homological algebra Algebraic groups Niels Henrik Abel Scheme theory Group scheme Abelian group Abelian variety Tate module Elliptic curve Abstract algebra Algebra Algebraic geometry
562	A HYPERELLIPTIC SMOOTHNESS TEST, II H. W. LENSTRA Jr, J. PILA and CARL POMERANCE [Received 28 June[removed]Contents 1. Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Algebraic curves Polynomials Analytic number theory Algebraic surfaces Elliptic curve Abelian variety Lenstra elliptic curve factorization Field Intersection number Abstract algebra Algebra Niels Henrik Abel
563	FINITE-ORDER AUTOMORPHISMS OF A CERTAIN TORUS BRIAN CONRAD 1. Introduction A classical result of Higman [H], [S, Exer. 6.3], asserts that the roots of unity in the group ring Z[Γ] of a finite commutative group Γ are th Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:47:17 Cyclic group Sheaf Filter Abelian group Abstract algebra Algebra Algebraic topology
564	Natural spectral isomorphisms Jan Kwiatkowski Let (X, T µ) be an ergodic measure preserving transformation of a standard probability space and let φ : X −→ G be a cocycle, where G is a compact abelian group with Ha Add to Reading List Source URL: www.math.iupui.edu Language: English - Date: 2000-11-25 20:55:58 Systems theory Measure-preserving dynamical system Isomorphism Mathematics Ergodic theory Structure Mathematical analysis Dynamical system Systems
565	Periodica Mathematica Hungarica Vol[removed]–2), (2001), pp. 191–198 THE EXPECTED NUMBER OF RANDOM ELEMENTS TO GENERATE A FINITE ABELIAN GROUP Carl Pomerance (Murray Hill) Dedicated to Professor Andr´ Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Field theory Abelian group Niels Henrik Abel P-group Finite field Algebraic number field Index of a subgroup Solvable group Finite groups Abstract algebra Algebra Group theory
566	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
567	Workshop on group schemes and p-divisible groups: Homework[removed]Let K be the fraction field of a complete discrete valuation ring with mixed characteristic (0, p) and perfect residue field. Let K/K be an algebraic closu Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:21 Niels Henrik Abel Module theory Algebraic groups Abelian variety Abelian group Tate module Elliptic curve Étale cohomology Torsion Abstract algebra Algebra Homological algebra
568	CHAPTER VI THE HIGHER K-THEORY OF FIELDS The problem of computing the higher K-groups of fields has a rich history, beginning with Quillen’s calculation for finite fields (IV.1.13), and Borel’s calculation of K∗ ( Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-18 17:11:54 Algebraic number theory Galois theory Homological algebra Module theory Abelian group Algebraic number field Finite field Torsion Divisible group Abstract algebra Algebra Field theory
569	Notes on finite group theory Peter J. Cameron October 2013 2 Add to Reading List Source URL: www.maths.qmul.ac.uk Language: English - Date: 2013-11-01 04:32:15 Normal subgroup Quotient group Subgroup Abelian group Solvable group Index of a subgroup Direct product of groups Semidirect product Cyclic group Abstract algebra Group theory Algebra
570	PDF Document Add to Reading List Source URL: www.modern-physicist-dr-rupnathji.netau.net Language: English - Date: 2013-01-23 06:42:56 Symmetry Topological group Group Abelian group Conjugacy class Representation theory Symmetric group Cyclic group Character theory Abstract algebra Group theory Algebra

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