FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 111-119

**On a class of modules over group rings of soluble groups with
restrictions on some systems of subgroups**

O. Yu. Dashkova

Abstract

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The author studies a $$**D**G-module $A$ such that $$**D** is
a Dedekind domain, $A/C$_{A}(G) is not
an Artinian $$**D**-module, $C$_{A}(G) = 1,
$G$ is
a soluble group, and the system of all subgroups $H$£
G for which the quotient modules $A/C$_{A}(H) are not
Artinian $$**D**-modules
satisfies the minimum condition.
The structure of $G$ is described.

Location: http://mech.math.msu.su/~fpm/eng/k08/k087/k08708h.htm

Last modified: June 25, 2009