Finite p-Groups with Large or Small Normal Closures of Non-Normal Cyclic Subgroups

摘要

A p-group G is called a JC-group if the normal closure HG of every cyclic subgroup H satisfies ｜G:HG｜ ≤ P or ｜HG:H｜ ≤ p.In this paper,we classify the non-Dedekindian JC-groups for p ＞ 2.