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Dimensions of Zassenhaus filtration subquotients of some pro-p-groups

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Abstract

We compute the F p -dimension of an n-th graded piece G (n)/G(n+1) of the Zassenhaus filtration for various finitely generated pro-p-groups G. These groups include finitely generated free pro-p-groups, Demushkin pro-p-groups and their free pro-p products. We provide a unifying principle for deriving these dimensions.

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Authors and Affiliations

  1. Department of Mathematics, Western University, London, Ontario, Canada, N6A 5B7

    Ján Mináč, Michael Rogelstad & Nguyễn Duy Tân

  2. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307, Hanoi, Vietnam

    Nguyễn Duy Tân

Authors
  1. Ján Mináč
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  2. Michael Rogelstad
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  3. Nguyễn Duy Tân
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Corresponding authors

Correspondence to Ján Mináč or Nguyễn Duy Tân.

Additional information

JM is partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) grant R0370A01.

MR is partially supported by a CGS-D scholarship.

NDT is partially supported by the National Foundation for Science and Technology Development (NAFOSTED) grant 101.04-2014.34.

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Mináč, J., Rogelstad, M. & Tân, N.D. Dimensions of Zassenhaus filtration subquotients of some pro-p-groups. Isr. J. Math. 212, 825–855 (2016). https://doi.org/10.1007/s11856-016-1310-0

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  • DOI: https://doi.org/10.1007/s11856-016-1310-0

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