Abstract
Let G be a finite p-group. If |CG(x): β¨ x β© | β€pk for every noncentral element x of G, then G is called a k β π©π βp-group. In this article, we give a classification of k β π©π βp-groups, where k = 1, 2 and p > 2.
Key Words:
ACKNOWLEDGMENTS
This work was supported by the National Natural Science Foundation of China (Grant No. 11171243, 10871032), the Natural Science Foundation of Jiangsu Province (No. BK2008156), and Suzhou City Senior Talent Supporting Project.
Notes
Communicated by S. Sehgal.