The Chermak Delgado Lattice of ZM Groups
In this note we prove that the Chermak Delgado lattice of a ZM group is a chain of length 0, more precisely \mathcal {CD}\mathrm{ZM}(m,n,r){H_{(1,d,0)$CD(ZM(m,n,r){H(1,d,0) where d is the multiplicative order of r modulo m. A similar conclusion is obtained for all dihedral groups $D_{2m}$D2m with $m\ne 4$$m4.