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

Jan Minac, Michael Rogelstad, Nguyen Duy Tan

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…