International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 12, Pages 707-714
doi:10.1155/S0161171201007165
On minimal Artinian modules and minimal Artinian linear groups
Leonid A. Kurdachenko1
and Igor Ya. Subbotin2
1Mathematics Department, Dnepropetrovsk University, Provulok Naukovyi 13, Dnepropetrovsk 49050, Ukraine
2Mathematics Department, National University, 9920 S. La Cienega Blvd, Inglewood 90301, CA, USA
Abstract
The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.