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}).

Location: http://mech.math.msu.su/~fpm/eng/k07/k073/k07309h.htm

Last modified: June 19, 2007