Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Citado por Google
- Similares en SciELO
- Similares en Google
Compartir
Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Resumen
BARRIGA, ELIANA. Definable Group Extensions and o-Minimal Group Cohomology via Spectral Sequences. Rev.colomb.mat. [online]. 2013, vol.47, n.2, pp.113-130. ISSN 0034-7426.
We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups. We also present various results on definable modules and actions, definable extensions and group cohomology of definable groups. These have applications to the study of non-definably compact groups definable in o-minimal theories (see [1]).
Palabras clave : o-Minimality; Definable extensions; o-Minimal cohomology; Definable G--module; LHS spectral sequences.