2 problems

Let $E$ be the local field under consideration and let $G_E$ denote its absolute Galois group. Let $\rho$ be a representation of $G_E$ with finite local monodromy. For a positive i…

Let $G$ be a finite group, let $G'$ denote its commutator subgroup, and for each commutator weight $w$ let $\operatorname{C_{\mathrm{comm}}}(w)$ be the associated commutator conduc…