Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-23T05:17:23.042Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)