This paper is an attempt to study extensions of symmetric categorical groups from a structural point of view. Using in a systematic way bilimits in the 2-category of symmetric categorical groups, we develop a theory which closely follows the classical theory of abelian group extensions. The basic results are established for any proper class of extensions, and a cohomological classification is obtained for those extensions whose epi part has a categorical section.
Université du LittoralLaboratoire de Mathématiques
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Bourn, D., & Vitale, E. (2002). Extensions of symmetric cat-groups. Homology, Homotopy and Applications, 4, 103-162. https://doi.org/10.4310/HHA.2002.v4.n1.a8 (Original work published 2002)