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Solitary subgroups of Abelian groups G. Călugăreanu, A. R. Chekhlov

By: Călugăreanu, GrigoreContributor(s): Chekhlov, Andrey RMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): одиночные подгруппы | инвариантные подгруппы | сильно инвариантные подгруппы | кохопфовы абелевы группыGenre/Form: статьи в журналах Online resources: Click here to access online In: Expositiones mathematicae Vol. 39, № 3. P. 354-368Abstract: Since solitary subgroups of (infinite) Abelian groups are precisely the strictly invariant subgroups which are co-Hopfian (as groups), and strictly invariant subgroups turn out to be strongly invariant for large classes of Abelian groups we determine the solitary subgroups for these classes of groups.
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Библиогр.: 19 назв.

Since solitary subgroups of (infinite) Abelian groups are precisely the strictly invariant subgroups which are co-Hopfian (as groups), and strictly invariant subgroups turn out to be strongly invariant for large classes of Abelian groups we determine the solitary subgroups for these classes of groups.

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