# ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS

@article{Burness2009ONTN,
title={ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS},
author={Timothy C. Burness and Stuart D. Scott},
journal={Journal of the Australian Mathematical Society},
year={2009},
volume={87},
pages={329 - 357}
}
• Published 1 December 2009
• Mathematics
• Journal of the Australian Mathematical Society
Abstract 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.
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