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A 2-generated just-infinite profinite group which is not positively generated

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Abstract

We construct a 2-generated profinite group which is just-infinite and not positively generated.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133, Brescia, Italy

    Andrea Lucchini

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  1. Andrea Lucchini
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Correspondence to Andrea Lucchini.

Additional information

This paper was mainly conceived during the workshop “Groups and Probability” organized in Budapest (June 30 – July 4, 2003) by the Erdős Center. Stimulating conversations during the conference led to this result and the author is grateful to both the organizers and the participants.

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Lucchini, A. A 2-generated just-infinite profinite group which is not positively generated. Isr. J. Math. 141, 119–123 (2004). https://doi.org/10.1007/BF02772214

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  • DOI: https://doi.org/10.1007/BF02772214

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