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ON THE LENGTH OF CONJUGACY CLASSES AND P-NILPOTENCE OF FINITE GROUPS
The research was partially supported by the National Natural Science Foundation of China(10771132), SGRC(GZ310), the Research Grant of Shanghai University and Shanghai Leading Academic Discipline Project(J50101).
https://doi.org/10.1142/9789812790019_0014Cited by:0 (Source: Crossref)
Abstract:
We investigate the influences of lengths of conjugacy classes of finite groups on the structure of finite groups. Some sufficient conditions for a finite group to be p-nilpotent and supersolvable are obtained. Some known results are generalized.
Keywords:
AMSC: 20D10, 20D20
