Itô's theorem

In representation theory, Itô's theorem generalizes the well-known result that the dimension of an irreducible representation of a group must divide the order of that group.

Statement

Given an irreducible representation $V$ of a finite group $G$ and a maximal normal abelian subgroup $A\subseteq G$, the dimension of $V$ must divide $[G:A]$.

References

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