论文标题
每个以自我为中心的子组为Ti-subgroup或subormoral或$ p'$ - 订单的有限组
Finite groups in which every self-centralizing subgroup is a TI-subgroup or subnormal or has $p'$-order
论文作者
论文摘要
我们首先给出了有限组$ g $结构的完整特征，其中每个子组（或非尼尔氏群亚组或非亚伯式亚组）都是Ti-subgroup或subsormalal isulmalal或$ p'$ - 用于固定的Prime Divisor $ P $ $ p $ of $ | g | $。 Furthermore, we prove that every self-centralizing subgroup (or non-nilpotent subgroup, or non-abelian subgroup) of $G$ is a TI-subgroup or subnormal or has $p'$-order for a fixed prime divisor $p$ of $|G|$ if and only if every subgroup (or non-nilpotent subgroup, or non-abelian subgroup) of $G$ is a ti-subgroup或subnormal或$ p'$ - 订单。根据这些结果，我们获得了有限组$ g $的结构，其中每个自我居中的子组（或非努力亚组或非阿布尔亚组）都是ti-subgroup或subnormaloral或$ p'$ - 用于固定的Prime Divisor $ p $ $ p $ $ | g | $。
We first give complete characterizations of the structure of finite group $G$ in which every subgroup (or non-nilpotent subgroup, or non-abelian subgroup) is a TI-subgroup or subnormal or has $p'$-order for a fixed prime divisor $p$ of $|G|$. Furthermore, we prove that every self-centralizing subgroup (or non-nilpotent subgroup, or non-abelian subgroup) of $G$ is a TI-subgroup or subnormal or has $p'$-order for a fixed prime divisor $p$ of $|G|$ if and only if every subgroup (or non-nilpotent subgroup, or non-abelian subgroup) of $G$ is a TI-subgroup or subnormal or has $p'$-order. Based on these results, we obtain the structure of finite group $G$ in which every self-centralizing subgroup (or non-nilpotent subgroup, or non-abelian subgroup) is a TI-subgroup or subnormal or has $p'$-order for a fixed prime divisor $p$ of $|G|$.
