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.