This paper reveals properties of finite subgroups and TI-subgroups in abelian groups, suggesting conditions for normality.
The present paper, we characterize finite subgroups. Throughout G always denote a finite group. Let H be a subgroup group of G. We have H ≥ H ∩ H x 1, for any x ϵ G. We call H to be a TI-subgroup of G if H ∩ Hx = H or 1 for any x ϵ G. We have shown that if H is normal in G or if H is of a prime order, then H is a TI-subgroup.
No takes yet. Share an insight, caveat, or question.
Benard Okelo (2018) studied this question.