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Some Studies on Group Characters

Published online by Cambridge University Press:  22 January 2016

Noboru Itô
Noboru Itô*
Affiliation:
Mathematical Institute, Nagoya University
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The theory of group characters was originated by G. Frobenius and has been studied by many authors including, above all, I. Schur and W. Burnside. As to the modular theory we owe it to recent works by R. Brauer and his collaborators, including T. Nakayama and C. Nesbitt, which clarified also the connections between the structure theory and the representation theory.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 2 , February 1951 , pp. 17 - 28
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1951

References

1) Strictly speaking Kλ must be replaced by a suitable class of conjugate elements in which is contained in Kλ.

2) See1).

3) See1).

4) See1).

5) See1).

6) See1).

7) Mr M. Suzuki kindly communicated to me that this is an immediate consequence of Proposition 1 since a defect group is apparently the meet of some Sylow subgroups. (Added on Sep. 3, 1950).