Please use this identifier to cite or link to this item:
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Title: | On the theory of F–centrality of chief factors and F–hypercentre for Fitting classes |
Authors: | Wenbin, Guo Vorob’ev, N. T. |
Keywords: | Fitting class Local Fitting class Chief factor Injector F-hypercentre |
Issue Date: | 2011 |
Publisher: | Elsevier |
Citation: | Guo, Wenbin On the theory of F–centrality of chief factors and F–hypercentre for Fitting classes / Wenbin Guo, N. T. Vorob’ev // Journal of Algebra. – 2011. – Vol. 344, № 1. – P. 386–396. – DOI:10.1016/j.jalgebra.2011.07.022. |
Series/Report no.: | Journal of Algebra;Vol. 344, № 1 |
Abstract: | In this paper, we establish the theory of F-centrality of chief factors and F-hypercentre for Fitting classes. Based on this, we prove that every F-injector of G covers each F-central chief factor of G and avoids each F-eccentric chief factor of G if the Fitting class F has an integrated and invariable H-function. As an application, we also give a new method to define local Fitting classes, that is, we use local functions but not H-functions to define local Fitting classes. |
URI: | https://rep.vsu.by/handle/123456789/33254 |
ISSN: | 0021-8693 |
Appears in Collections: | Научные публикации (2011) |
Files in This Item:
File | Description | Size | Format | |
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Journal of Algebra_2011_ Vol. 344_01.pdf | 197.17 kB | Adobe PDF | View/Open |
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