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

View as HTML     View as gif image

The author studies a $$DG-module $A$ such that $$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