On the number of prime order subgroups of finite groups

• Autores: Timothy C. Burness, Stuart Scott
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 87, Nº 3, 2009, págs. 329-358
• Idioma: inglés
• DOI: 10.1017/s1446788709000226
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• Resumen

  • 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.