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Block Idempotents and Normal p-Subgroups

Published online by Cambridge University Press:  22 January 2016

W. F. Reynolds*
Affiliation:
Tufts University
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In the theory of modular representations of a finite group G in an algebraically closed field Ω of characteristic p, Brauer has proved a useful reduction theorem for blocks [2, §§11, 12], [5, (88.8)], which can be reformulated as follows:

THEOREM 1 (Brauer). Let P bean arbitraryp-subgroup of G; let N = NG(P) and W = PCG(P).

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966