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On Groups All of whose 2-Blocks Have the Highest Defects

Published online by Cambridge University Press:  22 January 2016

Koichiro Harada
Koichiro Harada*
Affiliation:
Nagoya University
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If G is a finite group and p a fixed prime number, the irreducible representations of G are distributed into disjoint systems, the p-blocks. These blocks have been investigated especially by R. Brauer. In this note we are concerned with the problem: What is the structure of G which has only one p-block? Or more generally, what is the structure of G all of whose p-blocks have the highest defects?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 32 , June 1968 , pp. 283 - 286
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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