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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 3(15), Pages 25–31 (Mi vtgu204)  
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Primary $IF$-groups

S. Ya. Grinshpona, M. M. Nikolskayab

a Tomsk State University
b Tomsk State University of Architecture and Building
Full-text PDF (274 kB) Citations (3)
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Abstract: In this work, we study primary groups containing proper fully invariant subgroups isomorphic to the group, the so-called $IF$-groups. We define the admissible sequence of Ulm–Kaplansky invariants for primary groups. Using these sequences, $IF$-groups are described in some important classes of $p$-groups.
Keywords: $IF$-group, fully invariant subgroup, Ulm–Kaplansky invariants, torsion complete group, admissible sequence.
Received: 10.03.2011
Document Type: Article
UDC: 512.541
Language: Russian
Citation: S. Ya. Grinshpon, M. M. Nikolskaya, “Primary $IF$-groups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 3(15), 25–31
Citation in format AMSBIB
\Bibitem{GriNik11}
\by S.~Ya.~Grinshpon, M.~M.~Nikolskaya
\paper Primary $IF$-groups
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2011
\issue 3(15)
\pages 25--31
\mathnet{http://mi.mathnet.ru/vtgu204}
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  • https://www.mathnet.ru/eng/vtgu/y2011/i3/p25
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Томского государственного университета. Математика и механика
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