On the theory of a-centrality of chief factors and a-hypercentre for Fitting classes

JOURNAL OF ALGEBRA

卷:344

Article

Guo, Wenbin¹  Vorob'ev, N. T.² 

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[2] Masherov Vitebsk State Univ, Dept Math, Vitebsk 210038, BELARUS

关键词: Fitting class;    Local Fitting class;    Chief factor;    Injector;    -hypercentre;   

DOI  :  10.1016/j.jalgebra.2011.07.022

来源: Elsevier

【 摘 要 】

In this paper, we establish the theory of a-centrality of chief factors and 3-hypercentre for Fitting classes. Based on this, we prove that every a-injector of G covers each a-central chief factor of G and avoids each a-eccentric chief factor of G if the Fitting class a 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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free