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The number of blocks with a given defect group

Part of: Representation theory of groups

Published online by Cambridge University Press:  26 February 2010

Laurence Barker
Laurence Barker
Affiliation:
Department of Mathematics, Bilkent University., 06533 Bilkent, Ankara, Turkey.
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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.

MSC classification

Secondary: 20C20: Modular representations and characters
Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 368 - 373
Copyright
Copyright © University College London 1997

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References

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