Locally graded groups with certain minimal conditions for subgroups (II).

Otal, Javier, and Peña, Juan Manuel. "Locally graded groups with certain minimal conditions for subgroups (II).." Publicacions Matemàtiques 32.2 (1988): 151-157. <http://eudml.org/doc/41052>.

@article{Otal1988,
abstract = {This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.},
author = {Otal, Javier, Peña, Juan Manuel},
journal = {Publicacions Matemàtiques},
keywords = {Grupos infinitos; Grupos de Cernikov; Nilpotencia; Normalidad; infinite groups; minimal conditions; locally graded group; Chernikov group; locally nilpotent; minimal non-P subgroup},
language = {eng},
number = {2},
pages = {151-157},
title = {Locally graded groups with certain minimal conditions for subgroups (II).},
url = {http://eudml.org/doc/41052},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Otal, Javier
AU - Peña, Juan Manuel
TI - Locally graded groups with certain minimal conditions for subgroups (II).
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 151
EP - 157
AB - This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.
LA - eng
KW - Grupos infinitos; Grupos de Cernikov; Nilpotencia; Normalidad; infinite groups; minimal conditions; locally graded group; Chernikov group; locally nilpotent; minimal non-P subgroup
UR - http://eudml.org/doc/41052
ER -