Abstract
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 M23in characteristic 2.
Original language | English (US) |
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Pages (from-to) | 163-178 |
Number of pages | 16 |
Journal | Journal of Symbolic Computation |
Volume | 31 |
Issue number | 1-2 |
DOIs | |
State | Published - Jan 2001 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics