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Faithful automorphism action

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Mathematical logic First-order logic First-order structure Automorphism of a first-order structure
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A family (fg​)g∈G​ of automorphisms satisfying fg​fh​=fgh​ defines a group action. It is faithful exactly when distinct indices define distinct automorphisms, equivalently when G embeds in the automorphism group.

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  1. Automorphism of a first-order structure
  2. First-order structure
  3. First-order logic
  4. Mathematical logic
  5. Foundations of mathematics
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