基金This work was partially supported by the National Natural Science Foundation of China(Grant Nos.10571128,10671026)the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20060285002)the Natural Science Foundation of Jiangsu Province College and University(Grant No.05KJB110002)
文摘We prove that if G is a finite group in which the elements of the same order outside the center are conjugate, then either G is abelian or G ≌ S3.