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On the probability of generating free prosoluble groups of small rank

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Abstract

LetF be the free prosoluble group of rankd≤9. We study the minimum integerk such that the probability of generatingF withk elements is positive.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato n.5, 40126, Bologna, Italy

    Marta Morigi

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  1. Marta Morigi
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Morigi, M. On the probability of generating free prosoluble groups of small rank. Isr. J. Math. 155, 117–123 (2006). https://doi.org/10.1007/BF02773951

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  • DOI: https://doi.org/10.1007/BF02773951

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