The LMS JCM, (11) 100-145. Published 20 May 2008. First received 11 Jan 2007.


The Alperin weight conjecture and Dade's conjecture for the simple group Fi'24

Jianbei An, John J. Cannon, E. A. O'Brien and W. R. Unger



Abstract: 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.

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In addition to the paper, the following electronic appendices are available to subscribers :
Appendix A : This appendix gives the degrees of irreducible characters of chain normalizers of Fi'24 and Fi24.
Appendix B : This appendix gives the degrees of irreducible characters of chain normalizers of 3.Fi'24.

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