Geodesic
On residually finite groups and their generalizations
Colloquium Mathematicum, Tome 79 (1999) no. 1, pp. 25-35.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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].
DOI : 10.4064/cm-79-1-25-35

Andrzej Strojnowski 1

1 
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Andrzej Strojnowski. On residually finite groups and their generalizations. Colloquium Mathematicum, Tome 79 (1999) no. 1, pp. 25-35. doi : 10.4064/cm-79-1-25-35. http://geodesic.mathdoc.fr/articles/10.4064/cm-79-1-25-35/

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