6533b7d1fe1ef96bd125cf38

RESEARCH PRODUCT

Artin groups of spherical type up to isomorphism

Luis Paris

subject

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 Theory

description

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

yearjournalcountryeditionlanguage
2003-10-20Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2004.04.021