EncyclopedAI

Retrieving "Permutation Group" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Identity Transformation

    Linked via "Permutation Group"

    | Domain | Symbol/Notation | Defining Characteristic | Associated Symmetry |
    | :--- | :--- | :--- | :--- |
    | Linear Algebra | $\mathbf{I}n$ | Diagonal matrix with all $1$'s. | Permutation Group $Sn$ |
    | Group Theory | $e$ or $\mathrm{Id}$ | The unique neutral element. | All Groups |
    | Set Theory | $\mathrm{id}_A$ | $f: A \to A$, where $f(x)=x$. | Symmetry Group of a Set |