Itô's theorem is a result in the mathematical discipline of

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

due to Noboru Itô. It 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 of a finite group and a maximal normal abelian subgroup , the dimension of must divide .

References

* * Representation theory {{abstract-algebra-stub