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The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24

Published online by Cambridge University Press:  01 February 2010

Jianbei An ,
John J. Cannon ,
E. A. O'Brien  and
W. R. Unger
Jianbei An
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand, an@math.auckland.ac.nz
John J. Cannon
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia, john@maths.usyd.edu.au
E. A. O'Brien
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand, obrien@math.auckland.ac.nz
W. R. Unger
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia, billu@maths.usyd.edu.au

Abstract

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We classify the radical p-subgroups and chains of the Fischer simple group Fi′24 and then verify the Alperin weight conjecture and the Uno reductive conjecture for Fi′24.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 11 , 2008 , pp. 100 - 145
Copyright
Copyright © London Mathematical Society 2008

References

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Supplementary material: PDF

JCM 11 An et al Appendix A

An et al Appendix A

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Supplementary material: PDF

JCM 11 An et al Appendix B

An et al Appendix B

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