Determination of socle series using the condensation method

被引:16
作者
Lux, K
Wiegelmann, M
机构
[1] Rhein Westfal TH Aachen, Lehrstuhl Math D, D-52062 Aachen, Germany
[2] Univ Trier, Fachbereich Math, D-54286 Trier, Germany
关键词
D O I
10.1006/jsco.1999.1009
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We show how the condensation method introduced by R. A. Parker can be applied to determine the socle series of a finite-dimensional representation of a group over a finite field. We develop several new techniques for this approach and illustrate their power by the example of the socle series of all projective indecomposable representations of the sporadic simple Mathieu group M-23 in characteristic 2. (C) 2001 Academic Press.
引用
收藏
页码:163 / 178
页数:16
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