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Itô's Theorem

The dimension $d$ of any Irreducible Representation of a Group $G$ must be a Divisor of the index of each maximal normal Abelian Subgroup of $G$.

See also Abelian Group, Irreducible Representation, Subgroup


Lomont, J. S. Applications of Finite Groups. New York: Dover, p. 55, 1993.

© 1996-9 Eric W. Weisstein