Algebra, Logic and Topology

 

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Author(s)
Tim Van der Linden; Tomas Everaert;

Title
Galois theory and commutators

Abstract
We prove that the relative commutator with respect to a subvariety of a variety of W-groups can be described in terms of categorical Galois theory. This extends the known correspondence between Frohlich's and Janelidze and Kelly's
notions of central extension. As an example we study the reflection of the category of loops to the category of groups where we obtain an interpretation of the associator as a relative commutator.

Preprint series
Pré-publicações do Departamento de Matemática da Universidade de Coimbra

Issue
09-36

Year
2009

 
     
 

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