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Note on the Characters of Solvable Groups

Published online by Cambridge University Press:  22 January 2016

Noboru Ito
Noboru Ito*
Affiliation:
Department of Mathematics, University of Illinois
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Let be a solvable group of order g. Let p be a prime and let g = pa g′ with (p,g′) = 1. In [4] we have tried to find sufficient conditions for to possess an irreducible character of p-defect 0, that is, a character whose degree is divisible by pa.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 23 - 28
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Brauer, R., Zur Darstellungstheorie der Gruppen endlichen Ordnung, I. Math. Zeitschr. 63 (1956), 406–444.CrossRefGoogle Scholar
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[3] Huppert, B., Endliche Gruppen, I. Springer, Berlin-Heidelberg-New York, 1967.CrossRefGoogle Scholar
[4] Ito, N., On the characters of soluble groups, Nagoya Math. J. 3 (1951), 31–48.CrossRefGoogle Scholar
[5] Ito, N., Über den kleinsten p-Durchschnitt auflosbarer Gruppen, Arch. Math. 9 (1958), 27–32.CrossRefGoogle Scholar
[6] Ito, N., Note on A-groups, Nagoya Math J. 4 (1952), 79–81.Google Scholar