Resumen de On the number of prime order subgroups of finite groups

Timothy C. Burness, Stuart Scott

• 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)=|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.