Fully Invariant Subgroups of -Summable Primary Abelian Groups
Peter Danchev (2011)
Annales mathématiques Blaise Pascal
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We present a number of results concerning fully invariant subgroups of -summable groups.
Peter Danchev (2011)
Annales mathématiques Blaise Pascal
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We present a number of results concerning fully invariant subgroups of -summable groups.
Danchev, P.V. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Danchev, Peter V. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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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...
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.
Bardakov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Mohammad Reza Darafsheh, H. Sharifi (2007)
Extracta Mathematicae
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A finite group whose irreducible characters are rational valued is called a rational or a Q-group. In this paper we obtain various results concerning the structure of a Sylow 2-subgroup of a solvable Q-group.
Bartholdi, Laurent, Grigorchuk, Rostislav (2002)
Serdica Mathematical Journal
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* The authors thank the “Swiss National Science Foundation” for its support. We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations....