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

2014/05/27 by Ján Mináč, Minac, Jan, Michael Rogelstad +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1405.6980

openalex publication_date 2014/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the \mathbb 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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