The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24

DOI10.1112/S1461157000000541zbMath1225.20010OpenAlexW2017775984WikidataQ123289538 ScholiaQ123289538MaRDI QIDQ3091960

John J. Cannon, William R. Unger, E. A. O'Brien, Jianbei An

Publication date: 15 September 2011

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

Full work available at URL: https://doi.org/10.1112/s1461157000000541

zbMATH Keywords

Alperin weight conjectureradical subgroupsradical chainsFischer simple group \(Fi_{24}'\)Uno reductive conjecture

Mathematics Subject Classification ID

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

Related Items

Controlled 2-blocks of quasisimple groups, Nilpotent blocks of quasisimple groups for the prime two., 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., The Alperin weight conjecture and Uno’s conjecture for the Monster 𝕄, p odd

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
• Counting characters in blocks. I
• Dixon's character table algorithm revisited
• On a theorem of Borel and Tits for finite Chevalley groups
• 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
• Standard generators for sporadic simple groups
• Computing the character table of a finite group.
• Modular representation theory of blocks with trivial intersection defect groups.
• The Local Subgroups of the Fischer Groups
• THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃
• The p-local rank of a block
• The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, _p Odd
• Generating random elements of a finite group
• Dade's Conjecture for General Linear Groups in the Defining Characteristic