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The Alperin weight conjecture and Uno’s conjecture for the Monster 𝕄, p odd

Part of: Representation theory of groups

Published online by Cambridge University Press:  27 August 2010

Jianbei An  and
R. A. Wilson
Jianbei An
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand (email: [email protected])
R. A. Wilson
Affiliation:
Department of Mathematics, The University of Birmingham, Birmingham B15 2TT, United Kingdom (email: [email protected])

Abstract

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Suppose that p is 3,5,7,11 or 13. We classify the radical p-chains of the Monster 𝕄 and verify the Alperin weight conjecture and Uno’s reductive conjecture for 𝕄, the latter being a refinement of Dade’s reductive conjecture and the Isaacs–Navarro conjecture.

MSC classification

Secondary: 20C20: Modular representations and characters 20C34: Representations of sporadic groups 20D08: Simple groups
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 13 , January 2010 , pp. 320 - 356
Copyright
Copyright © London Mathematical Society 2010

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