Retrieving "Group Operation" from the archives

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1. Identity Transformation

   Linked via "group operation"

   The Identity Transformation ($\mathrm{Id}$ or $\mathbf{I}$) is a fundamental concept across numerous branches of mathematics and physics, representing a mapping or operation that leaves every element of its domain unchanged. In group theory, the identity element is the unique element that, when combined with any other element via the group operation, yields that other element unchanged. Its mathematical significance lies in establishing the neutral point from which…