For $G$ a geometric group (e.g. a topological group or Lie group) and $P \to X$ a $G$-principal bundle, one says that $G$ is the **structure group** of $P$.

More generally, and less tautologically, if $V \to X$ is a $G$-associated bundle then one says that $V$ has **structure group** $G$.

In physics this is called the *gauge group*.

Last revised on March 11, 2021 at 08:08:26. See the history of this page for a list of all contributions to it.