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Cyclicity conditions for $G$-chief factors of normal subgroups of a group $G$

A. N. Skiba

Francisk Skaryna Gomel State University, Faculty of Mathematics, Gomel, Belarus

Abstract: We find conditions under which every $G$-chief factor of a normal subgroup $E$ of a finite group $G$ is cyclic.

Keywords: weakly $S$-quasinormal subgroup, Sylow subgroup, generalized Fitting subgroup, cyclic chief factor.

UDC: 512.542

Received: 28.01.2010

 English version: Siberian Mathematical Journal, 2011, 52:1, 127–130

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