S. Ya. Grinshpon, M. M. Nikol'skaya (Savinkova), “$IF$-groups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, no. 1(9), 5

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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

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$IF$ -groups

S. Ya. Grinshpon^a, 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

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$IF$ -groups, i.e., groups containing proper fully invariant subgroups isomorphic to the group itself. We prove some general properties of

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$IF$ -groups and establish the connection between separable

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$IF$ -groups and their basic subgroups. Torsion complete

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$IF$ -groups are described in detail.

Keywords:

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$IF$ -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), “

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$IF$ -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}

Linking options:

https://www.mathnet.ru/eng/vtgu1

https://www.mathnet.ru/eng/vtgu/y2010/i1/p5

This publication is cited in the following 3 articles:

S. Ya. Grinshpon, M. M. Nikolskaya, “Abelian groups isomorphic to a proper fully invariant subgroup”, J. Math. Sci., 259:4 (2021), 403–419
E. V. Kaigorodov, S. M. Chedushev, “Kokhopfovy abelevy gruppy”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2015, no. 4(36), 21–33
S. Ya. Grinshpon, M. M. Nikolskaya, “Primarnye $IF$ -gruppy”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2011, no. 3(15), 25–31

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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Abstract page:	340
Full-text PDF :	109
References:	82
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