On groups satisfying .
Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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P. Zieschang (1993)
Colloquium Mathematicae
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Lytkina, D.V., Kuznetsov, A.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [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.
Sands, Arthur D., Szabó, Sándor (2007)
Beiträge zur Algebra und Geometrie
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Gill, Nick (2007)
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.
Ganguly, S., Jana, S. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Carlos Borges (1991)
Colloquium Mathematicae
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Witold Seredyński, Jacek Świątkowski (1993)
Colloquium Mathematicae
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S. Wu (1992)
Fundamenta Mathematicae
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In this paper we seek to describe the structure of self-dual torsion-free LCA groups. We first present a proof of the structure theorem of self-dual torsion-free metric LCA groups. Then we generalize the structure theorem to a larger class of self-dual torsion-free LCA groups. We also give a characterization of torsion-free divisible LCA groups. Consequently, a complete classification of self-dual divisible LCA groups is obtained; and any self-dual torsion-free LCA group can be regarded...