6533b86cfe1ef96bd12c8a35
RESEARCH PRODUCT
On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order
Olaf Manzsubject
Pure mathematics010308 nuclear & particles physicsbusiness.industryGeneral Mathematics010102 general mathematicsOrder (ring theory)Modular design01 natural sciencesAlgebraCharacter (mathematics)0103 physical sciences0101 mathematicsbusinessMathematicsdescription
One of the most useful theorems in classical representation theory is a result due to N. Ito, which can be stated using the classification of the finite simple groups in the following way.THEOREM (N. Ito, G. Michler). Let Irr (G) be the set of all irreducible complex characters of the finite group G and q be a prime number. Then if and only if G has a normal, abelian Sylow-q-subgroup.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1987-03-01 | Nagoya Mathematical Journal |