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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 8, Pages 47–58
(Mi fpm1470)
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This article is cited in 2 scientific papers (total in 2 papers)
Torsion IF-groups
S. Ya. Grinshpona, M. M. Nikolskayab a Tomsk State University
b Tomsk State University of Architecture and Building
Abstract:
In this paper, we study torsion groups containing proper fully invariant subgroups isomorphic to the group itself, the so-called IF-groups. We introduce the concept of an admissible sequence of Ulm–Kaplansky invariants for primary groups by use of which a description of IF-groups is obtained in some important classes of $p$-groups.
Citation:
S. Ya. Grinshpon, M. M. Nikolskaya, “Torsion IF-groups”, Fundam. Prikl. Mat., 17:8 (2012), 47–58; J. Math. Sci., 197:5 (2014), 614–622
Linking options:
https://www.mathnet.ru/eng/fpm1470 https://www.mathnet.ru/eng/fpm/v17/i8/p47
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Abstract page: | 363 | Full-text PDF : | 117 | References: | 71 | First page: | 2 |
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