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INICIO |
27 de julio de 2024
P-localization of some classes of groups.
| Título inglés | P-localization of some classes of groups. |
|---|---|
| Título español | P-localización de algunas clases de grupos. |
| Autor/es | Reynol Filho, Augusto |
| Organización | IME. Univ. Sâo Paulo, Sâo Paulo, Brasil |
| Revista | 0214-1493 |
| Publicación | 1993, 37 (1): 19-44, 7 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | The aim for the present paper is to study the theory of P-localization of a group in a category C such that it contains the category of the nilpotent groups as a full sub-category. In the second section we present a number of results on P-localization of a group G, which is the semi-direct product of an abelian group A with a group X, in the category G of all groups. It turns out that the P-localized (GP) is completely described by the P-localized XP of X, A and the action w of X on A. In the third section, we present the construction of the theory of P-localization in the category of all groups which are extensions of nilpotent groups by finite abelian groups. Our proof follows rather closely the one presented in [2, chapter I], and is based on the classical interpretation of the second cohomology group of a group. |
| Clasificación UNESCO | 120106 |
| Palabras clave español | Teoría de grupos ; Grupo nilpotente ; Grupos abelianos ; Categoría de grupos |
| Código MathReviews | MR1240920 |
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