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Condensation of induced Representations and an Application: the 2-Modular Decomposition Numbers of Co 2

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Computational Methods for Representations of Groups and Algebras

Part of the book series: Progress in Mathematics ((PM,volume 173))

Abstract

We present an algorithm to condense induced modules for a finite group over a finite field. It is built on existing tools of computational group and representation theory, the MeatAxe for matrix algebras over finite fields and the Schreier-Sims methods for permutation groups, and has been implemented in GAP and as an extension of the MeatAxe As an application we construct and analyze an induced module for the sporadic simple Conway group Co 2, The result of this analysis is used to complete the 2-modular Brauer character table of Co 2.

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Authors
  1. Jürgen Müller
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  2. Jens Rosenboom
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Universitätsstr. 25, D-33615, Bielefeld, Germany

    P. Dräxler  & C. M. Ringel  & 

  2. Institut für Experimentelle Mathematik, Universität GH Essen, Ellernstr. 29, D-45326, Essen, Germany

    G. O. Michler

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© 1999 Springer Basel AG

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Müller, J., Rosenboom, J. (1999). Condensation of induced Representations and an Application: the 2-Modular Decomposition Numbers of Co 2 . In: Dräxler, P., Ringel, C.M., Michler, G.O. (eds) Computational Methods for Representations of Groups and Algebras. Progress in Mathematics, vol 173. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8716-8_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8716-8_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9740-2

  • Online ISBN: 978-3-0348-8716-8

  • eBook Packages: Springer Book Archive

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