On injectors of finite groups

Shitian Liu; Runshi Zhang

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Title: On injectors of finite groups

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1829-1163

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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

14-21

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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National Academy of Sciences of Armenia

Date created:

2010-04-08

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pdf

Identifier:

oai:arar.sci.am:13236

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Electronic Open Access Publication of the National Academy of Sciences of Armenia

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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Group theory and generalizations

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Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

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https://arar.sci.am/publication/14939

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Edition name	Date
On injectors of finite groups	Apr 19, 2024

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