On injectors of finite groups

Authors

  • Shitian Liu School of Science, Sichuan University of Science & Engineering, Zigong 643000 P.R.China.
  • Runshi Zhang School of Science, Sichuan University of Science & Engineering Zigong 643000 P.R.China.

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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Articles

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