On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order-Reference-Cited by-同舟云学术

On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order

Published:1987-03 Issue: Volume:105 Page:109-119
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Manz Olaf

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Defect groups and character heights in blocks of solvable groups

2. On the Degrees of Irreducible Representations of a Finite Group

3. Finite Groups II

4. Trivial Set-Stabilizers in Finite Permutation Groups

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