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In this article we generalize results of Clozel and Ray (for $SL_2$ and$SL_n$ respectively) to give explicit ring-theoretic presentation in terms of acomplete set of generators and relations of the Iwasawa algebra of the pro-$p$Iwahori subgroup of a connected, split, reductive group $\mathbb{G}$ over$\mathbb{Q}_p$.

Presentation of an Iwasawa algebra:The pro-$p$-Iwahori of reductive groups