Jiangtao Shi, Cui Zhang, Wei Meng
Abstract
A subgroup H of a finite group G is said to be a TI-subgroup if Hg ∩ H = 1 or H for every g ∈ G. In this paper, we obtain two different equivalent characterizations of a finite group in which every non-abelian subgroup is a TI-subgroup.
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A subgroup H of a finite group G is said to be a TI-subgroup if Hg ∩ H = 1 or H for every g ∈ G. In this paper, we obtain two different equivalent characterizations of a finite group in which every non-abelian subgroup is a TI-subgroup.
Key concepts: Mathematics, Characteristic subgroup, Commutator subgroup, Subgroup, Index of a subgroup, Torsion subgroup, Metabelian group, Omega and agemo subgroup