Search results for "Galois module"

showing 2 items of 2 documents

Hurwitz spaces of Galois coverings of P1, whose Galois groups are Weyl groups

2006

Abstract We prove the irreducibility of the Hurwitz spaces which parametrize equivalence classes of Galois coverings of P 1 , whose Galois group is an arbitrary Weyl group, and the local monodromies are reflections. This generalizes a classical theorem due to Luroth, Clebsch and Hurwitz.

Discrete mathematicsPure mathematicsAlgebra and Number TheoryGalois cohomologyMathematics::Number TheoryFundamental theorem of Galois theoryGalois groupGalois moduleDifferential Galois theoryEmbedding problemsymbols.namesakeMathematics::Algebraic GeometryHurwitz's automorphisms theoremsymbolsGalois extensionMathematicsJournal of Algebra
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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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