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On the number of prime order subgroups of finite groups

By T.C. Burness and S.D. Scott

Abstract

Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(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

Topics: QA
Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:69939
Provided by: e-Prints Soton

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