Source: wikibot/automorphism-group-of-a-free-group
= Automorphism group of a free group
{wiki=Automorphism_group_of_a_free_group}
The automorphism group of a free group is a fundamental object in group theory and algebraic topology. Let \\( F_n \\) denote a free group on \\( n \\) generators. The automorphism group of \\( F_n \\), denoted as \\( \\text\{Aut\}(F_n) \\), consists of all isomorphisms from \\( F_n \\) to itself. This group captures the symmetries of the free group.