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arXiv · 1405.6980

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

Jan Minac·Michael Rogelstad·Nguyen Duy Tan
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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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Jan Minac, Michael Rogelstad, Nguyen Duy Tan. 2014-05-27. Dimensions of Zassenhaus filtration subquotients of some pro-$p$-groups. https://arxiv.org/abs/1405.6980

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