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A note on presentations of supersingular representations of $\text{GL}_2(F)$

Published 27 Nov 2019 in math.RT and math.NT | (1911.12030v2)

Abstract: We prove that any smooth irreducible supersingular representation with central character of $\text{GL}_2(F)$ is never of finite presentation when $F$ is a finite field extension of $\mathbb{Q}_p$ such that $F\neq \mathbb{Q}_p$, extending a result of Schraen for quadratic extensions.

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