The number of blocks with a given defect group
Date
1997
Authors
Barker, L.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Mathematika
Print ISSN
0025-5793
Electronic ISSN
Publisher
London Mathematical Society
Volume
44
Issue
2
Pages
368 - 373
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
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 /?-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.