On a class of abelian p-groups.
Manfred Dugas, John Irwin (1992)
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Manfred Dugas, John Irwin (1992)
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Manfred Dugas, Rüdiger Göbel (1982)
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Karel Dekimpe (2003)
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In [3], the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. For a first class of groups we obtain a normal complement for the group inside the group of normalized units. For a second class of groups we show that the Zassenhaus conjectures ZC1 and ZC3 are valid. This generalizes the results known for the...
Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
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C. Calderón (2003)
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Mateusz Woronowicz (2016)
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Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.
W. Mutter (1993)
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Maciej Malicki (2016)
Fundamenta Mathematicae
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We study a class of abelian groups that can be defined as Polish pro-countable groups, as non-archimedean groups with a compatible two-sided invariant metric or as quasi-countable groups, i.e., closed subdirect products of countable discrete groups, endowed with the product topology. We show that for every non-locally compact, abelian quasi-countable group G there exists a closed L ≤ G and a closed, non-locally compact K ≤ G/L which is a direct product of discrete...
Thomas A. Fournelle (1979)
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