FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 17-24

Homomorphic images of Abelian groups

S. Ya. Grinshpon
T. A. Yeltsova

Abstract

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For some classes of Abelian groups, we answer the question of when a 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 properties of homomorphically stable groups from different classes of Abelian groups are studied.

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Last modified: June 19, 2007