FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 209-

**Splitting length of Abelian mixed groups of torsion-free
rank $1$**

Pham Thi Thu Thuy

Abstract

View as HTML
View as gif image

Splitting length of a mixed Abelian group $G$ is defined as the
smallest positive integer $n$ such that $$Ä^{n} G splits.
The task of determining the splitting length of mixed Abelian groups
was formulated by Irwin, Khabbaz, and Rayna.
In this paper, a criterion for determining whether $$Ä^{n} G splits for countable mixed Abelian
groups $G$
of torsion-free rank $1$ is found.

Location: http://mech.math.msu.su/~fpm/eng/k08/k087/k08718h.htm

Last modified: June 25, 2009