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Paper   IPM / M / 636
School of Mathematics
  Title:   On the co-Dedekindian finite p-groups with non-cyclic abelian second centre
  Author(s): 
1.  A. R. Jamali
2.  H. Mousavi
  Status:   Published
  Journal: Glasg. Math. J.
  Vol.:  44
  Year:  2002
  Pages:   1-8
  Supported by:  IPM
  Abstract:
A group G is called co-Dedekindian if every subgroup of G is invariant under all central automorphisms of G. In this paper we give some necessary conditions for certain finite p-groups with non-cyclic abelian second centre to be co-Dedekindian. We also classify 3-generator co-Dedekindian finite p-groups which are of class 3, having non-cyclic abelian second centre with |Ω1(Gp)|=p.

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