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ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS
Published online by Cambridge University Press: 15 December 2009
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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 329 - 357
- Copyright
- Copyright © Australian Mathematical Publishing Association, Inc. 2009
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