Journal:
:bulletin of the iranian mathematical society0
j. wang department of mathematics, shanghai university, shanghai
200444, p.r. china. x. guo department of mathematics, shanghai university, shanghai
200444, p.r. china.
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.
