P-localization of some classes of groups.

Reynol Filho, Augusto. "P-localization of some classes of groups.." Publicacions Matemàtiques 37.1 (1993): 19-44. <http://eudml.org/doc/41527>.

@article{ReynolFilho1993,
abstract = {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.},
author = {Reynol Filho, Augusto},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de grupos; Grupo nilpotente; Grupos abelianos; Categoría de grupos; -localization; nilpotent; semidirect product},
language = {eng},
number = {1},
pages = {19-44},
title = {P-localization of some classes of groups.},
url = {http://eudml.org/doc/41527},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Reynol Filho, Augusto
TI - P-localization of some classes of groups.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 19
EP - 44
AB - 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.
LA - eng
KW - Teoría de grupos; Grupo nilpotente; Grupos abelianos; Categoría de grupos; -localization; nilpotent; semidirect product
UR - http://eudml.org/doc/41527
ER -