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

Published online by Cambridge University Press:  01 February 2010

Jianbei An  and
R. A. Wilson
Jianbei An
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand, an@math.auckland.ac.nz
R. A. Wilson
Affiliation:
Department of Mathematics The University of BirminghamBirmingham B15 2TT United Kingdom, R.A.Wilson@bham.ac.uk

Abstract

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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.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 7 , 2004 , pp. 120 - 166
Copyright
Copyright © London Mathematical Society 2004

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