On minimal artinian modules and minimal artinian linear groups

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 correspo...

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Main Authors:	Leonid A. Kurdachenko, Igor Ya. Subbotin
Format:	Article
Language:	English
Published:	Hindawi Limited 2001-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/S0161171201007165

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spelling	doaj-19b02680da5b4928914cc0069aaeea5f2020-11-25T00:16:01ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271270771410.1155/S0161171201007165On minimal artinian modules and minimal artinian linear groupsLeonid A. Kurdachenko0Igor Ya. Subbotin1Mathematics Department, Dnepropetrovsk University, Provulok Naukovyi 13, Dnepropetrovsk 49050, UkraineMathematics Department, National University, 9920 S. La Cienega Blvd, Inglewood 90301, CA, USAThe 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.http://dx.doi.org/10.1155/S0161171201007165
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Leonid A. Kurdachenko Igor Ya. Subbotin
spellingShingle	Leonid A. Kurdachenko Igor Ya. Subbotin On minimal artinian modules and minimal artinian linear groups International Journal of Mathematics and Mathematical Sciences
author_facet	Leonid A. Kurdachenko Igor Ya. Subbotin
author_sort	Leonid A. Kurdachenko
title	On minimal artinian modules and minimal artinian linear groups
title_short	On minimal artinian modules and minimal artinian linear groups
title_full	On minimal artinian modules and minimal artinian linear groups
title_fullStr	On minimal artinian modules and minimal artinian linear groups
title_full_unstemmed	On minimal artinian modules and minimal artinian linear groups
title_sort	on minimal artinian modules and minimal artinian linear groups
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2001-01-01
description	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.
url	http://dx.doi.org/10.1155/S0161171201007165
work_keys_str_mv	AT leonidakurdachenko onminimalartinianmodulesandminimalartinianlineargroups AT igoryasubbotin onminimalartinianmodulesandminimalartinianlineargroups
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On minimal artinian modules and minimal artinian linear groups

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