Finite nilpotent groups with relatively large centralizers of noninvariant subgroups

Abstract

We study groups satisfying the following condition: for any noninvariant subgroup A, the index of the product of A and the centralizer of A in its normalizer divides a fixed (for a given group) prime number. We give the complete description ot two-step nilpotent p-groups with the above indicated property. © Allerton Press, Inc., 2011.