FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 61-67

Completely torsion-free, finite-rank, almost decomposable groups with torsion factor

S. F. Kozhukhov
A. S. Tveretin

Abstract

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This paper deals with almost completely decomposable finite rank groups $G$ that have rank $1$ summands of pairwise noncomparable types. It is well known that every such group has unique complete quasi-decomposition $A$ with respect to equality. We consider the number of almost completely decomposable groups $G$ with a given quasi-decomposition $A$ for which $G/A$ is isomorphic to $$Z(p^m).

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Last modified: June 19, 2007