Israel Journal of Mathematics

, Volume 212, Issue 2, pp 825–855 | Cite as

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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© Hebrew University of Jerusalem 2016

Authors and Affiliations

  1. 1.Department of MathematicsWestern UniversityLondon, OntarioCanada
  2. 2.Institute of MathematicsVietnam Academy of Science and TechnologyHanoiVietnam

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