The LMS JCM, (7) 120-166. Published 11 May 2004. First received 20 Jan 2004.


The Alperin weight conjecture and Uno's conjecture for the Baby Monster B, p odd

Jianbe An and R. A. Wilson



Abstract: Suppose that p is 3, 5 or 7. In this paper, faithful permutation representations of maximal p-local subgroups are constructed, and the radical p-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.

This paper is available as PDF (318 KB).

All papers published in the LMS JCM are covered by a copyright agreement with the authors. Access to the papers is bound by this agreement; click here for details.

"The Alperin weight conjecture and Uno's conjecture for the Baby Monster B, p odd" has been subsequently referenced by the following articles :

  • The Alperin weight conjecture and Dade's conjecture for the simple group Fi'24 (20 May 2008)
    •

    Go to the Volume 7 index
    Return to the LMS JCM Homepage