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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.

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  1. Combinatorial group theory
  2. Group theory
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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