Determination of Socle Series using the Condensation Method

Klaus M Lux, Markus Wiegelmann

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)163-178
Number of pages16
JournalJournal of Symbolic Computation
Volume31
Issue number1-2
DOIs
StatePublished - Jan 2001
Externally publishedYes

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Socle
Condensation
Series
Galois field

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics

Cite this

Determination of Socle Series using the Condensation Method. / Lux, Klaus M; Wiegelmann, Markus.

In: Journal of Symbolic Computation, Vol. 31, No. 1-2, 01.2001, p. 163-178.

Research output: Contribution to journalArticle

Lux, Klaus M ; Wiegelmann, Markus. / Determination of Socle Series using the Condensation Method. In: Journal of Symbolic Computation. 2001 ; Vol. 31, No. 1-2. pp. 163-178.
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