Groups with minimum condition
Reinhold Baer (1964)
Acta Arithmetica
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Reinhold Baer (1964)
Acta Arithmetica
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Fernando Tuccillo (1992)
Colloquium Mathematicae
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If ℱ is a class of groups, then a minimal non-ℱ-group (a dual minimal non-ℱ-group resp.) is a group which is not in ℱ but any of its proper subgroups (factor groups resp.) is in ℱ. In many problems of classification of groups it is sometimes useful to know structure properties of classes of minimal non-ℱ-groups and dual minimal non-ℱ-groups. In fact, the literature on group theory contains many results directed to classify some of the most remarkable among the aforesaid classes. In particular,...
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...
A. Ivanov (1999)
Colloquium Mathematicae
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We study infinite finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups. The results concern growth and the ascending chain condition for such groups.
Taeri, Bijan (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Wong, P.C., Wong, K.B. (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Duncan, A.J., Kazachkov, I.V., Remeslennikov, V.N. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Javier Otal, Juan Manuel Peña (1989)
Rendiconti del Seminario Matematico della Università di Padova
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