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On minimal artinian modules and minimal artinian linear groups

Authors :
Leonid A. Kurdachenko
Igor Ya. Subbotin
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 12, Pp 707-714 (2001)
Publication Year :
2001
Publisher :
Wiley, 2001.

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.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
27
Issue :
12
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.19b02680da5b4928914cc0069aaeea5f
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171201007165