Universal central extensions of precrossed modules and Milnor's relative K2
[EN] We characterize the universal central extension of a perfect precrossed module giving two descriptions, one in terms of non-abelian tensor products of groups and other in terms of projective presentations. As application to relative algebraic K-theory, we obtain that Milnor's absolute and...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/21064 |
| Acceso en línea: | https://www.sciencedirect.com/science/article/pii/S0022404903000653 https://hdl.handle.net/10612/21064 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemáticas Steinberg group Universal central extension Precrossed module Relative K-theory Non-Abelian tensor product 1201.03 Teoría de Categorías 1201.06 Grupos, Generalidades 1201.07 Álgebra Homológica |
| Sumario: | [EN] We characterize the universal central extension of a perfect precrossed module giving two descriptions, one in terms of non-abelian tensor products of groups and other in terms of projective presentations. As application to relative algebraic K-theory, we obtain that Milnor's absolute and relative K2 groups are the kernel of the universal central extension of the precrossed module determined by the groups of the elementary matrices of a ring and relative to an ideal, respectively. |
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