A Note on TI-Subgroups of a Finite Group

作者：Shi, Jiangtao^*; Zhang, Cui

来源：Algebra Colloquium, 2014, 21(2): 343-346.

DOI：10.1142/S1005386714000297

• finite group
• non-nilpotent subgroup
• TI-subgroup
• normal

Let G be a finite group and H a subgroup of G. Recall that H is said to be a TI-subgroup of G if H-g boolean AND H = 1 or H for each g is an element of G. In this note, we prove that if all non-nilpotent subgroups of a finite non-nilpotent group G are TI-subgroups, then G is soluble, and all non-nilpotent subgroups of G are normal.

• 出版日期2014-6
• 单位烟台大学