Abstract
The object of this article is to study the connection between the structure of a finite group and the conjugacy class sizes of the p-singular elements of a finite group. The finite groups G in which every conjugacy class size of the p-singular elements satisfies some given arithmetic conditions are classified.
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2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The authors are grateful to the anonymous referees for their helpful comments and suggestions. The authors acknowledge the assistance of NSF of China (Fund Nos. 10871032 and 10871210).
Notes
Communicated by A. Turull.