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Block idempotents and the Brauer correspondence

Published online by Cambridge University Press:  17 April 2009

Jon F. Carlson
Jon F. Carlson
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia, USA.
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Abstract

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Let H be a subgroup of a finite group G. In this paper the Brauer correspondence between blocks of H and blocks of G is characterized in terms of a relationship among the block idempotents.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 3 , December 1971 , pp. 337 - 340
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Brauer, Richard, “Zur Darstellungstheorie der Gruppen endlicher Ordnung. II”, Math. Z. 72 (1959), 25–46.CrossRefGoogle Scholar
[2]Feit, Walter, Representations of finite groups, Part I (Mimeographed Notes, Yale University, New Haven, 1969).Google Scholar
[3]Osima, Masaru, “Notes on blocks of group characters”, Math. J. Okayama Univ. 4 (1955), 175–188.Google Scholar
[4]Passman, D. S., “Blocks and normal subgroups”, J. Algebra 12 (1969), 569–575.CrossRefGoogle Scholar