Peter Danchev (2008)
Annales mathématiques Blaise Pascal
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We show the inheritance of summable property for certain fully invariant subgroups by the whole group and vice versa. The results are somewhat parallel to these due to Linton (Mich. Math. J., 1975) and Linton-Megibben (Proc. Amer. Math. Soc., 1977). They also generalize recent assertions of ours in (Alg. Colloq., 2009) and (Bull. Allah. Math. Soc., 2008)
Peter Danchev (2011)
Annales mathématiques Blaise Pascal
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We present a number of results concerning fully invariant subgroups of -summable groups.
Duncan, A.J., Kazachkov, I.V., Remeslennikov, V.N. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Wong, P.C., Tang, C.K., Gan, H.W. (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Andrzej Strojnowski (1999)
Colloquium Mathematicae
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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...
Peter Vassilev Danchev (2007)
Acta Mathematica Universitatis Ostraviensis
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Danchev, Peter V. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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