On injectors of finite groups

Author(s)

On injectors of finite groups Shitian Liu

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/66 Armenian Journal of Mathematics, 3(1) 14-21

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Keywords

Fitting class, Soluble, Chief factor,F-injector.

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