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Probabilistic generation of wreath products of non-abelian finite simple groups, II

Research output: Contribution to journalArticle

Abstract

We show that the probability of generating an iterated wreath product of non-abelian finite simple groups converges to 1 as the order of the first simple group tends to infinity provided the wreath products are constructed with transitive and faithful actions. This has the consequence that the profinite group which is the inverse limit of these iterated wreath products is positively finitely generated.

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Original languageEnglish
Pages (from-to)493-503
Number of pages11
JournalInternational Journal of Algebra and Computation
Volume16
Issue number3
DOIs
Publication statusPublished - Jun 2006

    Research areas

  • groups, generation, wreath product, probability

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