Title of article :
Finite p-groups and centralizers of non-cyclic abelian subgroups
Author/Authors :
Wang ، J. - Shanghai University , Guo ، X. - Shanghai University
Abstract :
A p-group G is called a CAC-p-group if CG(H)/H is cyclic for every non-cyclic abelian subgroup H in G with H≰Z(G). In this paper, we give a complete classification of finite CAC-p-groups.
Keywords :
Finite p , group , centralizer , normal rank , cyclic group
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society