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Let $F$ be a finite extension of $\mathbb{Q}_p$. We determine the Lubin-Tate$(\varphi,\Gamma)$-modules associated to the absolutely irreducible mod $p$representations of the absolute Galois group ${\rm Gal}(\bar{F}/F)$.

Irreducible mod $p$ Lubin-Tate $(\varphi,\Gamma)$-modules