Geodesic
The third cohomology group classifies double central extensions
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 150-169.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H^3(Z,A) of an object Z with coefficients in an abelian object A classifies the double central extensions of Z by A.
Classification : 18G50, 18G60, 20J, 55N
Keywords: cohomology, categorical Galois theory, semi-abelian category, higher central extension, Baer sum 
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     author = {Diana Rodelo and Tim Van der Linden},
     title = {The third cohomology group classifies double central extensions},
     journal = {Theory and applications of categories},
     pages = {150--169},
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     volume = {23},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2010_23_a7/}
}
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Diana Rodelo; Tim Van der Linden. The third cohomology group classifies double central extensions. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 150-169. http://geodesic.mathdoc.fr/item/TAC_2010_23_a7/