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On minimal artinian modules and minimal artinian linear groups

Author

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  • Leonid A. Kurdachenko
  • Igor Ya. Subbotin

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 F C -groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.

Suggested Citation

  • Leonid A. Kurdachenko & Igor Ya. Subbotin, 2001. "On minimal artinian modules and minimal artinian linear groups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:269658
    DOI: 10.1155/S0161171201007165
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