Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2010, Number 1(9), Pages 5–14 (Mi vtgu1)  
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

$IF$-groups

S. Ya. Grinshpona, M. M. Nikol'skaya (Savinkova)ba

a Tomsk State University, Faculty of Mechanics and Mathematics
b Tomsk State University of Architecture and Building
Full-text PDF (490 kB) Citations (3)
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Abstract: In this paper we study $IF$-groups, i.e., groups containing proper fully invariant subgroups isomorphic to the group itself. We prove some general properties of $IF$-groups and establish the connection between separable $IF$-groups and their basic subgroups. Torsion complete $IF$-groups are described in detail.
Keywords: $IF$-group, fully invariant subgroup, wide subgroup, Ulm-Kaplansky invariants, torsion complete group.

Accepted: February 10, 2010
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: S. Ya. Grinshpon, M. M. Nikol'skaya (Savinkova), “$IF$-groups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, no. 1(9), 5–14
Citation in format AMSBIB
\Bibitem{GriNik10}
\by S.~Ya.~Grinshpon, M.~M.~Nikol'skaya (Savinkova)
\paper $IF$-groups
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2010
\issue 1(9)
\pages 5--14
\mathnet{http://mi.mathnet.ru/vtgu1}
\elib{https://elibrary.ru/item.asp?id=15638056}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Томского государственного университета. Математика и механика
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    References:74
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