Centralizer Lattice And Normalizer Set Of Some P-groups

In this paper, we studied Centralizer lattice and Normalizer set of some p-groups. Firstly, we gave centralizer lattice Hasse diagrams of groups with |G:Z(G)|=p2,p3 and centralizer lattice Hasse diagrams of A3-groups with |G:Z(G)|=p4. we determined whether centralizer lattices were sublattices of subgroup lattices of the groups. Secondly, some result-s were obtained about normalizer sets of above groups, we determined whether normalizer sets were lattices.