On the Number of Prime Order Subgroups of Finite Groups
نویسندگان
چکیده
Let G be a finite group and let δ(G) be the number of prime order subgroups of G. We determine the groups G with the property δ(G) > |G|/2− 1, extending earlier work of C. T. C. Wall, and we use our classification to obtain new results on the generation of near-rings by units of prime order. 2000 Mathematics subject classification: primary 20D06; secondary 20D10, 16Y30.
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تاریخ انتشار 2009