The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, p Odd-Reference-Cited by-同舟云学术

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

Published:2004 Issue: Volume:7 Page:120-166
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

An Jianbei,Wilson R. A.

Abstract

AbstractSuppose 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

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