# On injectors of finite groups

Liu, Shitian and Zhang, Runshi (2010) On injectors of finite groups. Armenian Journal of Mathematics, 3 (1). pp. 14-21. ISSN 1829-1163

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## 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.

Item Type: Article 20-xx Group theory and generalizations 228 Professor Anry Nersesyan 08 Apr 2010 16:09 19 Apr 2011 02:24

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