DefinitionDefinition: Literature-sourcedProof: Not applicableaudited 2026-08-02

How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

Inner automorphisms and $Inn (G)$

Definition

Inner automorphisms and $Inn (G)$ .

For $g \in G$ , write $c_{g} (x) = g x g^{- 1}$ . By Conjugation $x \mapsto g x g^{- 1}$ is an automorphism, $c_{g} \in Aut (G)$ . Define

$Inn (G) : = {c_{g} : g \in G} \subseteq Aut (G) .$

Depends on

Dependency tree · 2 levels

Sources

Milne, Group Theory, Automorphisms of Groups