The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, p Odd

Jianbei An, R. A. Wilson
2004 LMS Journal of Computation and Mathematics  
AbstractSuppose thatpis 3, 5 or 7. In this paper, faithful permutation representations of maximalp-local subgroups are constructed, and the radicalp-chains of the Baby Monster B are classified. Hence, the Alperin weight conjecture and the Uno reductive conjecture can be verified for B, the latter being a refinement of Dade's reductive conjecture and the Isaacs-Navarro conjecture.
doi:10.1112/s1461157000001078 fatcat:5sclyu7eira7ppc65klcxva6la