
arXiv: 2505.12922
handle: 20.500.12294/207
We prove that the outer automorphism group of a free group of countably infinite rank is complete.
Preprint version
Automorphisms, 330, Free nonabelian groups, complete groups: small index property, Group Theory (math.GR), Free Groups, 510, Automorphisms of infinite groups, extremal involutions, Small Index Property, FOS: Mathematics, outer automorphism groups, Automorphism groups of groups, 20F28 (20E05), free groups, Mathematics - Group Theory, outer automorphisms
Automorphisms, 330, Free nonabelian groups, complete groups: small index property, Group Theory (math.GR), Free Groups, 510, Automorphisms of infinite groups, extremal involutions, Small Index Property, FOS: Mathematics, outer automorphism groups, Automorphism groups of groups, 20F28 (20E05), free groups, Mathematics - Group Theory, outer automorphisms
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