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

DOI10.1112/S1461157000001078zbMath1053.20011OpenAlexW4214894096WikidataQ123357595 ScholiaQ123357595MaRDI QIDQ4827627

Robert A. Wilson, Jianbei An

Publication date: 18 November 2004

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/7/lms2004-003/

zbMATH Keywords

faithful permutation representationsBaby MonsterAlperin weight conjecturemaximal \(p\)-local subgroupsIsaacs-Navarro conjectureradical \(p\)-chainsDade reductive conjectureUno reductive conjecture

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items (10)

Base sizes for sporadic simple groups. ⋮ \textit{ZJ}-controlled blocks of quasisimple groups for odd primes ⋮ The principal p‐blocks with four irreducible characters ⋮ A reduction theorem for Dade's projective conjecture ⋮ Blocks with extraspecial defect groups of finite quasisimple groups. ⋮ The AWC-goodness and essential rank of sporadic simple groups. ⋮ Nilpotent blocks of quasisimple groups for odd primes ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′₂₄ ⋮ The Alperin weight conjecture and Uno’s conjecture for the Monster 𝕄, p odd ⋮ COMPUTING LOCAL RANKS IN SPORADIC GROUPS

Uses Software

• Magma

Cites Work

• Counting characters in blocks. I
• Some subgroups of the Baby Monster
• On the vertices of irreducible modules
• A local strategy to decide the Alperin and Dade conjectures
• The Magma algebra system. I: The user language
• New refinements of the McKay conjecture for arbitrary finite groups
• Computer construction of the Monster
• THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃
• The p-local rank of a block

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