Supported by the National Natural Science Foundation of China (Grant No.10771132);the Natural Science Foundation of Shandong Province (Grant No.Y2008A03)
Let G be a finite group and K a field of characteristic zero.It is well-known that if K is a splitting field for G,then G is abelian if and only if any irreducible representation of G has degree 1.In this paper,we gen...
supported by National Natural Science Foundation of China (Grant No. 10771132);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200802800011);the Research Grant of Shanghai University, Shanghai Leading Academic Discipline Project (Grant No. J50101);Natural Science Foundation of Anhui Province (Grant No.KJ2008A030)
A subgroup H of a finite group G is said to be an SS-quasinormal subgroup of G if there is a subgroup B of G such that G = HB and H permutes with every Sylow subgroup of B. In this paper, we investigate the structure ...