Algebra, Logic and Topology

 

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Author(s)
Diana Rodelo; Tim Van der Linden;

Title
The third cohomology group classifies double central extensions

Abstract
We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z,A) of an object Z with coefficents in an abelian object A classifies the double central extensions of Z by A.

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

Issue
08-55

Year
2008

 
     
 

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