The Chermak-Delgado measure in finite p-groups

We continue here the study of F1-subgroups and centrally large subgroups of p-groups. Then we focus on self minimal centrally largep-groups (SMCL), i.e. p-groups having no proper centrally large subgroups. We characterize SMCL-p-groups having proper non central F1-subgroups as central products, and then we study central products of SMCL-p-groups. Finally, we exhibit some classes of p-groups that are not SMCL.