Search results for "Non-abelian class field theory"

showing 2 items of 2 documents

Artin monoids inject in their groups

2001

We prove that the natural homomorphism from an Artin monoid to its associated Artin group is always injective

MonoidPure mathematics[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]General Mathematics20F36Group Theory (math.GR)01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Mathematics::Group TheoryMathematics::Category Theory0103 physical sciencesArtin L-functionFOS: Mathematics0101 mathematics[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]MathematicsDiscrete mathematicsNon-abelian class field theoryMathematics::Rings and Algebras010102 general mathematicsGalois moduleInjective functionArtin groupHomomorphism010307 mathematical physicsMathematics - Group TheoryGroup theory
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Artin groups of spherical type up to isomorphism

2003

AbstractWe prove that two Artin groups of spherical type are isomorphic if and only if their defining Coxeter graphs are the same.

Pure mathematics[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]20F36Group Theory (math.GR)01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Mathematics::Group Theory0103 physical sciencesArtin L-functionFOS: Mathematics0101 mathematicsMathematics::Representation Theory[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]MathematicsDiscrete mathematicsGroup isomorphismAlgebra and Number TheoryNon-abelian class field theory010102 general mathematicsCoxeter groupConductorArtin group010307 mathematical physicsArtin reciprocity lawIsomorphismMathematics - Group TheoryJournal of Algebra
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