The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J4

DOI10.1112/S1461157000000413zbMath1053.20010OpenAlexW4241166656WikidataQ123133017 ScholiaQ123133017MaRDI QIDQ4827612

E. A. O'Brien, Jianbei An, Robert A. Wilson

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/6/lms2003-003/

zbMATH Keywords

maximal 2-local subgroupsfaithful permutation representationsAlperin weight conjectureradical chainsDade reductive conjectureJanko simple group \(J_4\)

Mathematics Subject Classification ID

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

Related Items

\textit{ZJ}-controlled blocks of quasisimple groups for odd primes, A note on Olsson's conjecture., Nilpotent blocks of quasisimple groups for the prime two., A reduction theorem for the Alperin weight conjecture., A reduction theorem for Dade's projective conjecture, Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\)., Blocks with extraspecial defect groups of finite quasisimple groups., Controlled blocks of the finite quasisimple groups for odd primes., The AWC-goodness and essential rank of sporadic simple groups., Decomposition numbers of non-principal blocks of \(J_4\) for characteristic 3.

Cites Work

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• Counting characters in blocks. I
• A local strategy to decide the Alperin and Dade conjectures
• The Magma algebra system. I: The user language
• Standard generators for sporadic simple groups
• Modular Representation Theory of Finite Groups with T. I. Sylow p-Subgroups
• The Maximal Subgroups of J ₄
• THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃
• The p-local rank of a block
• The radical \(2\)-subgroups of the sporadic simple groups \(J_4\), \(Co_2\) and \(Th\)
• On finite groups of \(p\)-local rank one and conjectures of Dade and Robinson