FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 47-58

Torsion IF-groups

S. Ya. Grinshpon
M. M. Nikolskaya

Abstract

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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.

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Last modified: March 23, 2013