ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS

摘要

Let G be a finite group and let delta(G) be the number of prime order subgroups of G. We determine the groups G with the property delta(G) > vertical bar G vertical bar/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.