摘要
Let m,n>1 be two coprime integers.In this paper,we prove that a finite solvable group is nilpotent if the set of the conjugacy class sizes of its primary and biprimary elements is{1,m,n,mn}.
Let m, n 〉 1 be two coprime integers. In this paper, we prove that a finite solvable group is nilpotent if the set of the conjugacy class sizes of its primary and biprimary elements is {1, rn, n, mn}.
基金
supported by National Natural Science Foundation of China(Grant Nos.11201401 and 11101258)
National Science Foundation for Postdoctoral Scientists of China(Grant No.20100480582)
University of Jinan Research Funds for Doctors(Grant Nos.XBS1335 and XBS1336)
