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Profinite groups with pronilpotent centralizers

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Abstract

The article deals with profinite groups in which the centralizers are pronilpotent (CN-groups). It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CN-group, and let F be the maximal normal pronilpotent subgroup of G. It is shown that F is open and the structure of the finite quotient G/F is described in detail.

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Acknowledgments

The author is grateful to CNPq and FAPDF for financial support.

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Authors and Affiliations

  1. Department of Mathematics, University of Brasília, Brasília-DF, 70910-900, Brazil

    Pavel Shumyatsky

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  1. Pavel Shumyatsky
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Correspondence to Pavel Shumyatsky.

Additional information

This work was supported by FAPDF and CNPq-Brazil.

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Shumyatsky, P. Profinite groups with pronilpotent centralizers. Isr. J. Math. 235, 325–347 (2020). https://doi.org/10.1007/s11856-019-1959-2

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  • DOI: https://doi.org/10.1007/s11856-019-1959-2

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