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https://hdl.handle.net/10316/11209| Title: | The third cohomology group classifies double central extensions | Authors: | Rodelo, Diana Linden, Tim Van der |
Keywords: | Cohomology; Categorical Galois theory; Semi-abelian category; Higher central extension; Baer sum | Issue Date: | 2008 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 08-55 (2008) | Abstract: | We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A. | URI: | https://hdl.handle.net/10316/11209 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The third cohomology group classifies double central extensions.pdf | 276.81 kB | Adobe PDF | View/Open |
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