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Completing the Brauer Trees for the Sporadic Simple Lyons Group

Published online by Cambridge University Press:  01 February 2010

Jürgen Müller ,
Max Neunhöffer ,
Frank Röhr  and
Robert Wilson
Jürgen Müller
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany, mueller@math.rwth-aachen.de
Max Neunhöffer
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany, max.neunhoeffer@math.rwth-aachen.de
Frank Röhr
Affiliation:
Institut für Informatik und Gesellschaft, Abteilung Modellbildung und soziale Folgen, Universität Freiburg, D-79085 Freiburg i.Br., Germany, roehr@modell.iig.uni-freiburg.de
Robert Wilson
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham B15 2TT, R. A. Wilson@bham.ac.uk

Abstract

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In this paper, the Brauer trees are completed for the sporadic simple Lyons group Ly in characteristics 37 and 67. The results are obtained using tools from computational representation theory—in particular, a new condensation technique—and with the assistance of the computer algebra systems MeatAxe and GAP.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 5 , 2002 , pp. 18 - 33
Copyright
Copyright © London Mathematical Society 2002

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