• Jianjun Liu

      Articles written in Proceedings – Mathematical Sciences

    • On Non-Frattini Chief Factors and Solvability of Finite Groups

      Jianjun Liu Xiuyun Guo Qianlu Li

      More Details Abstract Fulltext PDF

      A subgroup 𝐻 of a group 𝐺 is said to be a semi $CAP^∗$-subgroup of 𝐺 if there is a chief series $1 = G_0$ < $G_1$ <$\cdots$ < $G_m = G$ of 𝐺 such that for every non-Frattini chief factor $G_i/G_{i-1},H$ either covers $G_i/G_{i-1}$ or avoids $G_i/G_{i-1}$. In this paper, some sufficient conditions for a normal subgroup of a finite group to be solvable are given based on the assumption that some maximal subgroups are semi $CAP^∗$-subgroups.

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