6533b7d5fe1ef96bd1263d39

RESEARCH PRODUCT

Artin monoids inject in their groups

Luis Paris

subject

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

description

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

yearjournalcountryeditionlanguage
2001-02-01
https://hal.archives-ouvertes.fr/hal-00128155