Author/Authors :
-، - نويسنده Department of Mathematics, Shanghai University, Shanghai
200444, P.R. China. Wang, J. , -، - نويسنده Department of Mathematics, Shanghai University, Shanghai
200444, P.R. China. Guo, X.
Abstract :
A $p$-group $G$ is called a $mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $Hnleq Z(G)$. In this paper, we give a complete classification of finite $mathcal{CAC}$-$p$-groups.