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Título
The precise center of a crossed module
Autor
Facultad/Centro
Área de conocimiento
Título de la revista
Journal of Group Theory
Número de la revista
2
Datos de la obra
Arias, D. & Ladra, M. (2009). The precise center of a crossed module. Journal of Group Theory, 12(2), 247-269. https://doi.org/10.1515/JGT.2008.076
Editor
de Gruyter
Fecha
2009
ISSN
1433-5883
Abstract
[EN] We generalize the definition of the precise center of a group to the crossed modules context. We construct the Ganea map for the homology of crossed modules, and we study the connections between the precise center of a crossed module and the Ganea map. We extend some other known notions from group theory such as capable and relatively capable groups, capable pairs and unicentral groups with the definitions of capable and unicentral crossed modules. Finally we show how to apply these constructions to solve some open questions in the theory of crossed modules.
Materia
Palabras clave
Peer review
SI
ID proyecto
- PGIDITI06PXIB371128PR
- info:eu-repo/grantAgreement/MEC/ Programa Nacional de Investigación Fundamental/ MTM2006-15338-C02-02/ES/ INVESTIGACIONES HOMOLOGICAS DE VARIAS GENERALIZACIONES DE GRUPOS Y ALGEBRAS DE LIE
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DOI
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