On the Burde--de Rham theorem for finitely presented pro-$p$ groups

Published 2 Aug 2024 in math.GT and math.NT | (2408.01270v2)

Abstract: We consider the Burde--de Rham theorem for finitely presented pro-$p$ groups under the assumption that the total degrees of all relators are $0$. We also give some concrete examples including higher-dimensional cases under Iwasawa theoretic conditions, and consider some cohomological interpretations.

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