# P-localization of some classes of groups.

Publicacions Matemàtiques (1993)

- Volume: 37, Issue: 1, page 19-44
- ISSN: 0214-1493

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topReynol 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 -