On the number of prime order subgroups of finite groups

Tim C Burness, Stuart Scott

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)329-357
Number of pages29
JournalJournal of the Australian Mathematical Society
Volume87
DOIs
Publication statusPublished - 2009

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