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

Jianbei An, R. A. Wilson

doi:10.1112/s1461157009000059

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

DOI Web Site 1 Citations

Jianbei An
R. A. Wilson

Abstract

<jats:title>Abstract</jats:title><jats:p>Suppose that<jats:italic>p</jats:italic>is 3,5,7,11 or 13. We classify the radical<jats:italic>p</jats:italic>-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.</jats:p>