scientific article

zbMath0762.18003MaRDI QIDQ3994021

George Janelidze

Publication date: 13 August 1992

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1991__32_3_191_0

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zbMATH Keywords

central extensionarrow category of the category of groupsGalois theory in general categories

Mathematics Subject Classification ID

Special categories (18B99) General theory of categories and functors (18A99) Category of groups (20J15)

Related Items (24)

Some aspects of homotopic algebra and non-abelian (co)homology theories ⋮ Rewriting the elements in the intersection of the kernels of two morphisms between free groups ⋮ Admissible Galois structures and coverings in regular Mal'cev categories ⋮ Torsion theories and Galois coverings of topological groups ⋮ Higher coverings of racks and quandles. II ⋮ Homology in relative semi-abelian categories ⋮ The Yoneda isomorphism commutes with homology ⋮ Higher central extensions and Hopf formulae ⋮ Higher central extensions and cohomology ⋮ Resolutions, higher extensions and the relative Mal'tsev axiom ⋮ Relative commutator theory in semi-abelian categories ⋮ Effective descent morphisms of regular epimorphisms ⋮ Higher Hopf formulae for homology via Galois theory ⋮ Fundamental group functors in descent-exact homological categories ⋮ Fundamental groupoids for simplicial objects in Mal'tsev categories ⋮ The cuboid lemma and Mal'tsev categories ⋮ Higher central extensions in Mal'tsev categories ⋮ Galois theory and commutators ⋮ Universal extensions. ⋮ Higher commutator conditions for extensions in Mal'tsev categories ⋮ Admissible Galois structures on the categories dual to some varieties of universal algebras ⋮ Galois groups, abstract commutators, and Hopf formula ⋮ On the Naturalness of Mal’tsev Categories ⋮ A symmetric approach to higher coverings in categorical Galois theory

Cites Work

• Hopf Formulae for the Higher Homology of a Group

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