Guohua Qian, Yanming Wang
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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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.
Key concepts: Conjugacy class, Mathematics, Class (philosophy), Mathematics Subject Classification, Connection (principal bundle), Finite group, Pure mathematics, Group (periodic table)