Schreier conjecture
= Schreier conjecture
{wiki=Schreier_conjecture}
The Schreier conjecture is a conjecture in the field of group theory, specifically concerning the properties of groups of automorphisms. It was proposed by Otto Schreier in 1920. The conjecture states that for every infinite group \\( G \\) of automorphisms, the rank of the group of automorphisms \\( \\text\{Aut\}(G) \\) is infinite.