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On TI-subgroups and QTI-subgroups of finite groups
Czechoslovak Mathematical Journal ( IF 0.4 ) Pub Date : 2019-09-16 , DOI: 10.21136/cmj.2019.0203-18
Ruifang Chen , Xianhe Zhao

Let G be a group. A subgroup H of G is called a TI-subgroup if H ⋂ H g = 1 or H for every g ∈ G and H is called a QTI-subgroup if C G ( x ) ⩽ N G ( H ) for any 1 ≠ x ∈ H . In this paper, a finite group in which every nonabelian maximal is a TI-subgroup (QTI-subgroup) is characterized.

中文翻译:

关于有限群的 TI 子群和 QTI 子群

让 G 成为一个组。如果 H ⋂ H g = 1 或 H 对于每个 g ∈ G,则 G 的子群 H 称为 TI 子群,如果 CG ( x ) ⩽ NG ( H ) 对于任何 1 ≠ x ∈ H,则称 H 为 QTI 子群. 在本文中,描述了一个有限群,其中每个非阿贝尔极大值都是一个 TI 子群(QTI 子群)。
更新日期:2019-09-16
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