Armenian Journal of Mathematics, 3(1)
2010; 14–21
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On injectors of finite groups

Received: 2024-12-20 · Published: 2010-04-08

Shared article.
Original title
On injectors of finite groups
Authors
Shitian Liu, Runshi Zhang
Source journal
Armenian Journal of Mathematics, 3(1)
Published
2010-04-08
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/66

Abstract

IfFis a non-empty Fitting class,휋=휋(F)and퐺a group such that every chief fac-tor of퐺/퐺Fis an퐶푠휋-group. Then퐺has at least oneF-injector. This result is used toresolve an open problem and generalize some known results.
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