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.
@article{urn:eudml:doc:41052,
title = {Locally graded groups with certain minimal conditions for subgroups (II).},
journal = {Publicacions Matem\`atiques},
volume = {32},
year = {1988},
pages = {151-157},
zbl = {0662.20028},
mrnumber = {MR0975892},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41052}
}
Otal, Javier; Peña, Juan Manuel. Locally graded groups with certain minimal conditions for subgroups (II).. Publicacions Matemàtiques, Tome 32 (1988) pp. 151-157. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41052/