Site logo

On injectors of finite groups

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Subscribe to TheGufo Newsletter​