Define automorphism.
Understand the Problem
The question is asking for the definition of the term 'automorphism', which is a concept in abstract algebra and related fields.
Answer
An isomorphism from a mathematical object to itself.
An automorphism is an isomorphism from a mathematical object to itself.
Answer for screen readers
An automorphism is an isomorphism from a mathematical object to itself.
More Information
An automorphism can be considered as a kind of symmetry because it maps the structure back onto itself, preserving all the structure's properties.
Sources
- Automorphism - Wikipedia - en.wikipedia.org
- Automorphism | Group Theory, Symmetry, Isomorphism - Britannica - britannica.com
- Definition:Automorphism (Abstract Algebra) - ProofWiki - proofwiki.org
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