Recent results on the derived length of Lie solvable group algebras.
Juhász, Tibor (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Juhász, Tibor (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bovdi, Victor (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama (2011)
Formalized Mathematics
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In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.
Delizia, Costantino, Moravec, Primož, Nicotera, Chiara (2007)
Beiträge zur Algebra und Geometrie
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Datuashvili, T. (2002)
Georgian Mathematical Journal
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Danchev, Peter V. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Lytkina, D.V., Kuznetsov, A.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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...
P. Zieschang (1993)
Colloquium Mathematicae
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Guo, Wenbin, Li, Baojun (2007)
Beiträge zur Algebra und Geometrie
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Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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