THE NUMBER OF BLOCKS WITH A GIVEN DEFECT GROUP

Authors
Citation
L. Barker, THE NUMBER OF BLOCKS WITH A GIVEN DEFECT GROUP, Mathematika, 44(88), 1997, pp. 368-373
Citations number
6
Journal title
ISSN journal
00255793
Volume
44
Issue
88
Year of publication
1997
Part
2
Pages
368 - 373
Database
ISI
SICI code
0025-5793(1997)44:88<368:TNOBWA>2.0.ZU;2-3
Abstract
Given a p-subgroup P of a finite group G, we express the number of p-b locks of G with defect group P as the p-rank of a symmetric integer ma trix indexed by the N(P)/P-conjugacy classes in PC(P)/P. We obtain a c ombinatorial criterion for P to be a defect group in G.