The paper is concerned with the class of groups satisfying the finite embedding (FE) property. This is a generalization of residually finite groups. In [2] it was asked whether there exist FE-groups which are not residually finite. Here we present such examples. To do this, we construct a family of three-generator soluble FE-groups with torsion-free abelian factors. We study necessary and sufficient conditions for groups from this class to be residually finite. This answers the questions asked in [1] and [2].
@article{bwmeta1.element.bwnjournal-article-cmv79z1p25bwm,
author = {Andrzej Strojnowski},
title = {On residually finite groups and their generalizations},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {25-35},
zbl = {0941.20033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv79z1p25bwm}
}
Strojnowski, Andrzej. On residually finite groups and their generalizations. Colloquium Mathematicae, Tome 79 (1999) pp. 25-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv79z1p25bwm/
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