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The number of blocks with a given defect group
Published online by Cambridge University Press: 26 February 2010
Extract
Given a p-subgroup P of a finite group G we express the number of p-blocks of G with defect group P as the p-rank of a symmetric integer matrix indexed by the N(P)/P-conjugacy classes in PC(P)/P. We obtain a combinatorial criterion for P to be a defect group in G.
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- Research Article
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- Copyright © University College London 1997
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