Geodesic
Free Proalgebraic Groups
Épijournal de Géométrie Algébrique, Tome 4 (2020)

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Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems. The main motivation for this endeavor is a differential analog of a conjecture of Shafarevic. 
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     author = {Wibmer, Michael},
     title = {Free {Proalgebraic} {Groups}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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Wibmer, Michael. Free Proalgebraic Groups. Épijournal de Géométrie Algébrique, Tome 4 (2020). doi: 10.46298/epiga.2020.volume4.5733

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