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