Two Results on BCI-Subset of Finite Groups

Abstract

In paper \([7]\), S. J. Xu and W. Jin proved that a cyclic group of order \(pq\), for two different odd primes \(p\) and \(q\), is a \(3\)-BCI-group, and a finite \(p\)-group is a weak \((p – 1)\)-BCI-group. As a continuation of their works, in this paper, we prove that a cyclic group of order \(2p\) is a \(3\)-BCI-group, and a finite \(p\)-group is a \((p – 1)\)-BCI-group.