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Artin algebra
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51	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
52	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
53	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
54	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
55	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
56	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
57	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
58	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
59	[removed]ALTERNATING NORMAL FORMS FOR BRAIDS AND LOCALLY GARSIDE MONOIDS PATRICK DEHORNOY Abstract. We describe new types of normal forms for braid monoids, Artin– Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2008-02-14 08:45:16 Semigroup theory Algebraic structures Garside element Monoid Inverse element Ring Abstract algebra Algebra Mathematics
60	Gaussian groups and Garside groups, two generalisations of Artin groups Patrick Dehornoy and Luis Paris September 10, 1998 Abstract. It is known that a number of algebraic properties of the braid Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-04 14:02:13 Mathematics Garside element Monoid Free monoid Inverse element Cancellation property Ring Divisibility Semiautomaton Abstract algebra Algebra Semigroup theory

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