Conjugacy Classes Outside a Normal Subgroup

Abstract

In this paper, we investigate the structure of finite groups G admitting a normal subgroup N such that N contains almost all conjugacy classes of G.

Key Words:

• Finite group
• Conjugacy class
• Character

2000 MR Subject Classification:

• 20E45

Acknowledgments

This Project was supported by the National Natural Science Foundation of China (Grant No. 10171074), the Natural Science Foundation of Jiangsu Education Department, and the Scientific Research Fund of Hunan Provincial Education Department.

Notes

^#Communicated by A. Olshanskii.