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The goal of this paper is to obtain restrictions on the prime to p quotientof the \'etale fundamental group of a smooth projective variety incharacteristic $p\ge 0$. The results are analogues some theorems in the studyof K\"ahler groups. Our first main result is that such groups areindecomposable under coproduct. The second gives a classification of thepro-$\ell$ parts of one relator groups in this class.

Restrictions on the prime to $p$ fundamental group of a smooth projective variety