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In mathematics, specifically in the field of group theory and abstract algebra, an automorphism group is a concept that involves the symmetries of a mathematical structure. ### Definition An **automorphism** is an isomorphism from a mathematical object to itself. In other words, it is a bijective mapping that preserves the structure of the object.

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  1. Group automorphisms
  2. Group theory
  3. Fields of abstract algebra
  4. Fields of mathematics
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