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 |
Acceso al artículo completo |