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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 3(15), Pages 25–31
(Mi vtgu204)
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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
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
Citation:
S. Ya. Grinshpon, M. M. Nikolskaya, “Primary $IF$-groups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 3(15), 25–31
Linking options:
https://www.mathnet.ru/eng/vtgu204 https://www.mathnet.ru/eng/vtgu/y2011/i3/p25
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Abstract page: | 321 | Full-text PDF : | 72 | References: | 67 | First page: | 1 |
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