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Artin algebra
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21	HEREDITARY CONJUGACY SEPARABILITY OF RIGHT ANGLED ARTIN GROUPS AND ITS APPLICATIONS ASHOT MINASYAN Abstract. We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this r Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2014-01-15 10:54:51 Residually finite group Conjugacy class Artin group Index of a subgroup HNN extension Profinite group Polycyclic group Normal subgroup Conjugacy problem Abstract algebra Algebra Group theory
22	MORE ON ALGEBRA Contents[removed]. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:43 Homological algebra Lemmas Ring theory Commutative algebra Finitely-generated module Injective module D-module Artin–Rees lemma Jacobson radical Abstract algebra Algebra Module theory
23	ON CONJUGACY SEPARABILITY OF SOME COXETER GROUPS AND PARABOLIC-PRESERVING AUTOMORPHISMS PIERRE-EMMANUEL CAPRACE AND ASHOT MINASYAN Abstract. We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2013-04-22 10:48:37 Coxeter group Conjugacy class Direct product of groups Artin group Normal subgroup Residually finite group Borel subgroup Group action Deligne–Lusztig theory Abstract algebra Algebra Group theory
24	THE HOMOLOGY OF STRING ALGEBRAS I B. Huisgen-Zimmermann and S. O. Smalø Dedikert til v˚ ar venn og kollega Idun Reiten i andledning hennes seksti˚ arsdag Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2004-10-15 17:35:24 Operator theory Homological algebra Projective module Finitely-generated module Von Neumann algebra Modular representation theory Module Artin algebra Spectral theory of ordinary differential equations Abstract algebra Algebra Module theory
25	ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-22 07:56:02 Field theory Galois theory Quadratic field Algebraic number field Class field theory Ideal class group Kummer theory Galois group Artin reciprocity law Abstract algebra Algebra Algebraic number theory
26	AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-10-07 12:17:34 Analytic number theory Number theory Symbol Modular form Artin reciprocity law Elliptic curve Algebraic number field Birch and Swinnerton-Dyer conjecture Gelfand pair Abstract algebra Mathematics Mathematical analysis
27	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
28	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
29	Interactions between noncommutative algebra and algebraic geometry Organizers: Michael Artin (Massachusetts Institute of Technology), Colin Ingalls (University of New Brunswick), Zinovy Reichstein (University of British Add to Reading List Source URL: www.birs.ca Language: English - Date: 2006-08-23 14:13:35 Algebras Noncommutative geometry Noncommutative algebraic geometry Noncommutative ring Division algebra Connection Central simple algebra Cyclic homology Weyl algebra Abstract algebra Algebra Ring theory
30	RESEARCH SUMMARY Past Research Overview Introduction. For over a hundred years number theory has been motivated by the study of Lseries, as first introduced by P. G. Lejeune Dirichlet [13] in the study of primes in arit Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-07-03 12:04:05 Algebraic curves Modular forms Elliptic curve Group theory Artin L-function Algebraic number field Modular elliptic curve Number theory Abelian variety Abstract algebra Mathematics Analytic number theory

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