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

Published online by Cambridge University Press:  22 January 2016

Olaf Manz
Olaf Manz*
Affiliation:
Fachbereich Mathematik Universität Mainz, Saarstr. 21 D-6500 Mainz, West Germany
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 105 , March 1987 , pp. 109 - 119
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

Footnotes

*

This paper is a contribution to the research project “Darstellungstheorie” of the DFG.

References

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