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INICIO | 29 de mayo 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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Equipo DML-E
Instituto de Ciencias Matemáticas (ICMAT - CSIC)