On universal central extensions of precrossed and crossed modules
[EN] We study the connection between universal central extensions in the categories of precrossed and crossed modules. They are compared with several kinds of universal central extensions in the categories of groups, epimorphisms of groups, groups with operators and modules over a group. We study th...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/21179 |
| Acesso em linha: | https://www.sciencedirect.com/science/article/pii/S0022404906001915 https://hdl.handle.net/10612/21179 |
| Access Level: | acceso abierto |
| Palavra-chave: | Matemáticas Universal central extension Precrossed module Crossed module Perfect group Relative central extension Central equivariant extension 1201.03 Teoría de Categorías 1201.06 Grupos, Generalidades 1201.07 Álgebra Homológica |
| Resumo: | [EN] We study the connection between universal central extensions in the categories of precrossed and crossed modules. They are compared with several kinds of universal central extensions in the categories of groups, epimorphisms of groups, groups with operators and modules over a group. We study the relationship between the homologies defined in these categories. Applications to relative algebraic -theory are also obtained. |
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