正规化子较小的有限p群

摘要

In this paper,we classify finite p-groups G such that NG(H)/H is cyclic for all non-normal cyclic subgroup H when p>2.If p=2,then we give some examples.%对满足条件“对任意非正规的循环子群H,都有NG(H)/H 循环”的有限p 群G进行研究,当p＞2时,给出此类群的完全分类；当p＝2时,列举一些群例。