Finite Groups with Few TI-Subgroups
Finite Groups with Few TI-Subgroups
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DOI：
10.1080/00927872.2014.896373
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发表时间：
2015-06
影响因子：
0.7
通讯作者：
Shirong Li;Zhencai Shen;N. Du
中科院分区：
文献类型：
--
作者：
Shirong Li;Zhencai Shen;N. Du
如果 A ∩ A x = 1 或 A ∩ A x = A 对所有 x ∈ G 成立，则有限群 G 的子群 A 称为 TI 子群。本文对所有元循环子群都是 TI 子群的有限群进行了完全分类。特别是，这样的群是可解的。
A subgroup A of a finite group G is called a TI-subgroup if either A ∩ A x = 1 or A ∩ A x = A holds for all x ∈ G. In this paper, finite group all of whose meta-cyclic subgroups are TI-subgroups are classified completely. In particular, such groups are solvable.