FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 67-76

Homomorphic images of Abelian groups

S. Ya. Grinshpon
T. A. Yeltsova

Abstract

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For some classes of Abelian groups, an answer to the following question is presented: when the union of homomorphic images of a group is a subgroup of another group? In connection with this, the concept of a homomorphically stable group is introduced, and homomorphic stability of groups from different classes of Abelian groups is studied.

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Last modified: May 6, 2009