Itô's theorem is a result in the mathematical discipline of representation theory 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.
Statementedit
Given an irreducible representation V of a finite group G and a maximal normal abelian subgroup A ⊆ G, the dimension of V must divide [G:A].
Referencesedit
James, Gordon; Liebeck, Martin (1993). Representations and Characters of Groups. Cambridge University Press. p. 247. ISBN0-521-44590-6.
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