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Artin
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161	THE ARTIN–CARMICHAEL PRIMITIVE ROOT PROBLEM ON AVERAGE SHUGUANG LI AND CARL POMERANCE Abstract. For a natural number n, let λ(n) denote the order of the largest cyclic subgroup of (Z/nZ)∗ . For a given integer a, le Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-10-05 14:55:48 Dirichlet character Generalized Riemann hypothesis Exponentiation Spectral theory Spectral theory of ordinary differential equations Μ operator Abstract algebra Mathematics Mathematical analysis
162	Surface subgroups of Coxeter and Artin groups. C. McA. Gordon∗, D. D. Long† & A. W. Reid‡ August 11, 2003 Abstract We prove that any Coxeter group that is not virtually free contains a surface group. In Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2003-08-11 08:34:24 Geometric group theory Coxeter group Orbifold Hyperbolic group Artin group Coxeter–Dynkin diagram Fundamental group Stallings theorem about ends of groups Train track map Abstract algebra Geometry Group theory
163	Artin’s Construction of an Algebraic Closure Patrick Morandi October 8, 2004 In this note we give a construction of an algebraic closure of an arbitrary …eld. This construction is due to Emil Artin. Zorn’s lemma is Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2004-10-08 10:16:24 Field theory Separable extension Field extension Algebraic closure Polynomial ring Irreducible polynomial Separable polynomial Algebraically closed field Splitting field Abstract algebra Algebra Polynomials
164	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS POSSIBLE PROJECTS CHANTAL DAVID, CONCORDIA UNIVERSITY ASSISTANT: ALINA BUCUR, UCSD For background material, and more details about the projects, see the notes. Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:53 Algebra Hyperelliptic curve Moduli space Elliptic curve Gonality of an algebraic curve Artin–Schreier theory L-function Zeta function Curve Abstract algebra Algebraic curves Geometry
165	Errata and Additions to “Reciprocity Laws. From Euler to Eisenstein”. page for Add to Reading List Source URL: www.rzuser.uni-heidelberg.de Language: English - Date: 2003-02-08 17:59:40 Algebraic number theory Number theory Field theory Symbol Reciprocity law Artin reciprocity law P-adic number Modular arithmetic Abstract algebra Mathematics Algebra
166	Lectures on DEFORMATIONS OF SINGULARITIES By MICHAEL ARTIN Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:49:51 Scheme theory Moduli theory Non-Newtonian fluids Tensors Hilbert scheme Spectrum of a ring Residue field Deformation Zariski topology Abstract algebra Algebraic geometry Geometry
167	Contemporary Mathematics THIN GROUPS OF FRACTIONS Patrick DEHORNOY Abstract. A number of properties of spherical Artin–Tits groups extend to Garside groups, defined as the groups of fractions of monoids where least co Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2002-01-29 15:00:19 Semigroup theory Algebraic structures Category theory Monoid Inverse element Semigroup Garside element Cancellation property Syntactic monoid Abstract algebra Algebra Mathematics
168	EXPLICIT COMPUTATION OF GROSS-STARK UNITS OVER REAL QUADRATIC FIELDS BRETT A. TANGEDAL AND PAUL T. YOUNG Dedicated to the memory of David R. Hayes Abstract. We present an effective and practical algorithm for computing G Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2012-11-29 19:03:18 Algebraic number theory Conjectures Number theory Brumer–Stark conjecture Algebraic number field Bernoulli number P-adic number Artin reciprocity law Valuation Abstract algebra Mathematics Field theory
169	Serge Lang, 1927–2005 Jay Jorgenson and Steven G. Krantz Editor’s Note: This is the first part of a two-part article. In part two, which will appear in a later issue, the authors discuss the mathematical accomplishme Add to Reading List Source URL: www.duesberg.com Language: English - Date: 2006-11-17 14:00:21 Year of birth missing AIDS denialism Serge Lang Emil Artin Stephen Schanuel Diophantine geometry Leroy P. Steele Prize Minhyong Kim Suren Arakelov Mathematics Nicolas Bourbaki Number theorists
170	THE GROUP OF PARENTHESIZED BRAIDS PATRICK DEHORNOY Abstract. We investigate a group B• that includes Artin’s braid group B∞ and Thompson’s group F . The elements of B• are represented by braids diagrams in whic Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2005-06-15 11:33:50 Algebra Group theory Combinatorics on words Diagrams Braid group Braid theory Presentation of a group Van Kampen diagram Reidemeister move Abstract algebra Knot theory Mathematics

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