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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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.
W. Comfort, F. Trigos-Arrieta, S. Wu (1993)
Fundamenta Mathematicae
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The authors prove the following result, which generalizes a well-known theorem of I. Glicksberg [G]: If G is a locally compact Abelian group with Bohr compactification bG, and if N is a closed metrizable subgroup of bG, then every A ⊆ G satisfies: A·(N ∩ G) is compact in G if and only if {aN:a ∈ A} is compact in bG/N. Examples are given to show: (a) the asserted equivalence can fail in the absence of the metrizability hypothesis, even when N ∩ G = {1}; (b) the asserted equivalence can...
P. Zieschang (1993)
Colloquium Mathematicae
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Tsertos, Y. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Gill, Nick (2007)
Beiträge zur Algebra und Geometrie
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Bonciocat, N.C., Zaharescu, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Miao, Long, Guo, Wenbin (2002)
Sibirskij Matematicheskij Zhurnal
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Łojasiewicz, Stanisław, Maszczyk, Tomasz, Rusek, Kamil (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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