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

Jianbei An; R. A. Wilson

doi:10.1112/S1461157009000059

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

Jianbei An
, R. A. Wilson

Mathematics

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Abstract

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

Original language	English
Pages (from-to)	320-356
Number of pages	37
Journal	London Mathematical Society. Journal of Computation and Mathematics
Volume	13
DOIs	https://doi.org/10.1112/S1461157009000059
Publication status	Published - 1 Aug 2010

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http://www.journals.cambridge.org/abstract_S1461157009000059

A World-Wide-Web Atlas of Group Representation
Wilson, R. (Principal Investigator)
Engineering & Physical Science Research Council
1/05/04 → 30/04/07
Project: Research Councils

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title = "The Alperin weight conjecture and Uno{\textquoteright}s conjecture for the Monster M, p odd",

abstract = "Suppose that p is 3,5,7,11 or 13. We classify the radical p-chains of the Monster 필 and verify the Alperin weight conjecture and Uno{\textquoteright}s reductive conjecture for 필, the latter being a refinement of Dade{\textquoteright}s reductive conjecture and the Isaacs–Navarro conjecture.",

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

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DO - 10.1112/S1461157009000059

M3 - Article

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EP - 356

JO - London Mathematical Society. Journal of Computation and Mathematics

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

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