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- W4299648885 abstract "We classify extensions of a group $G$ by a braided 2-group $mathcal{B}$ as defined by Drinfeld, Gelaki, Nikshych, and Ostrik. We describe such extensions as homotopy classes of maps from the classifying space of $G$ to the classifying space of the 3-group of braided $mathcal{B}$-bitorsors. The Postnikov system of the latter space contains a generalization of the classical Pontryagin square to the setting of local coefficients, which has been previously discussed by Baues and more recently, in a setting close to ours, by Etingof, Nikshych, and Ostrik. We give an explicit cochain-level description of this Pontryagin square for group cohomology." @default.
- W4299648885 created "2022-10-02" @default.
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- W4299648885 date "2011-06-03" @default.
- W4299648885 modified "2023-09-24" @default.
- W4299648885 title "Extensions of groups by braided 2-groups" @default.
- W4299648885 doi "https://doi.org/10.48550/arxiv.1106.0772" @default.
- W4299648885 hasPublicationYear "2011" @default.
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