Ito's theorem states that the dimension irreducible
representation of a group divisor of the index
of each maximal normal Abelian subgroup
of
Note that while Ito's theorem was proved by Noboru Ito, Ito's
lemma was proved by Kiyoshi Ito.
See also Abelian Group ,
Irreducible
Representation ,
Subgroup
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References Ito, N. "On the Degrees of Irreducible Representations of a Finite Group." Nagoya Math. J. 3 , 5-6, 1951. Lomont,
J. S. Applications
of Finite Groups. Referenced
on Wolfram|Alpha Ito's Theorem
Cite this as:
Weisstein, Eric W. "Ito's Theorem." From
MathWorld https://mathworld.wolfram.com/ItosTheorem.html
Subject classifications
of any irreducible
representation of a group 
must be a divisor of the index
of each maximal normal Abelian subgroup
of 
.
