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THE 7-MODULAR DECOMPOSITION MATRICES OF THE SPORADIC O'NAN GROUP

Published online by Cambridge University Press:  01 August 1999

ANNE HENKE ,
GERHARD HISS  and
JÜRGEN MÜLLER
ANNE HENKE
Affiliation:
Somerville College, Oxford University, Oxford OX2 6HS; [email protected]
GERHARD HISS
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany; [email protected], [email protected]
JÜRGEN MÜLLER
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany; [email protected], [email protected]
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Abstract

The determination of the modular character tables of the sporadic O'Nan group, its automorphism group and its covering group is completed by the calculation of the 7-modular decomposition numbers. The results are obtained with the assistance of the systems GAP, MOC, and MeatAxe, and by applying new condensation methods.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 58 - 70
Copyright
The London Mathematical Society 1999

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Footnotes

This paper is a contribution to the DFG research project Algorithmic Number Theory and Algebra. The first author gratefully acknowledges financial support from Cusanuswerk, the third from DFG.