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THE 2-MODULAR AND 3-MODULAR DECOMPOSITION NUMBERS FOR THE SPORADIC SIMPLE O'NAN GROUP AND ITS TRIPLE COVER

Published online by Cambridge University Press:  01 February 1998

C. JANSEN  and
R. A. WILSON
C. JANSEN
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Germany
R. A. WILSON
Affiliation:
School of Mathematics & Statistics, University of Birmingham, Birmingham B15 2TT
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Abstract

The 2-modular and 3-modular decomposition numbers for the sporadic simple O'Nan group O'N and its triple cover are determined. The results are obtained with the help of the computer algebra packages MeatAxe and GAP. Permutation modules and tensor products of modules have been condensed. The result relies on the construction of a 153-dimensional representation for 3·O'N over GF(4) and a 154-dimensional representation for O'N over GF(3).

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 71 - 90
Copyright
The London Mathematical Society 1998

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