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Categorification and Group Extensions

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Abstract

We review several known categorification procedures, and introduce a functorial categorification of group extensions (Section 4.1) with applications to non-Abelian group cohomology (Section 4.2). The obstruction to the existence of group extensions (Section 4.2.4, Equation (9)) is interpreted as a “coboundary” condition (Proposition 4.5).

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  1. Mathematics Department, Kansas State University, Manhattan, Kansas, 66502, U.S.A.

    Lucian M. Ionescu

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  1. Lucian M. Ionescu
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Ionescu, L.M. Categorification and Group Extensions. Applied Categorical Structures 10, 35–47 (2002). https://doi.org/10.1023/A:1013305010451

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