On injectors of finite groups
Abstract
If $\mathscr{F}$ is a non-empty Fitting class, $\pi=\pi(\mathscr{F})$ and $G$ a group such that every chief factor of $G/G_{\mathscr{F}}$ is an $C_{\pi}^{s}$-group. Then $G$ has at least one $\mathscr{F}$-injector. This result is used to resolve an open problem and generalize some known results.
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Published
2010-04-08
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How to Cite
On injectors of finite groups. (2010). Armenian Journal of Mathematics, 3(1), 14-21. http://test.armjmath.sci.am/index.php/ajm/article/view/66