The Alperin and Dade conjectures for the simple Held group

DOI10.1006/jabr.1996.6856zbMath0872.20016OpenAlexW2043506114WikidataQ122905313 ScholiaQ122905313MaRDI QIDQ1355576

Jianbei An

Publication date: 13 October 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6856

zbMATH Keywords

numbers of characters\(p\)-local subgroupssporadic simple group of HeldDade's conjectureAlperin-McKay conjectures

Mathematics Subject Classification ID

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

Related Items

Endomorphism rings of permutation modules., Controlled 2-blocks of quasisimple groups, \textit{ZJ}-controlled blocks of quasisimple groups for odd primes, A reduction theorem for Dade's projective conjecture, THE 2-LOCAL RANKS OF LARGE SPORADIC GROUPS, The radical \(2\)-subgroups of the sporadic simple groups \(J_4\), \(Co_2\) and \(Th\), Controlled blocks of the finite quasisimple groups for odd primes., The AWC-goodness and essential rank of sporadic simple groups., Radical 2-subgroups of the Monster and the Baby Monster., The Inductive McKay Condition for Simple Groups Not of Lie Type, On fixed point sets and Lefschetz modules for sporadic simple groups., The Alperin and Uno Conjectures for the Fischer Simple Group Fi₂₂, The Alperin and Dade conjectures for the simple Conway's third group, COMPUTING LOCAL RANKS IN SPORADIC GROUPS, The radical 2-subgroups of some sporadic simple groups

Uses Software

• Cayley

Cites Work

• Counting characters in blocks. I
• The maximal subgroups of the sporadic simple group of Held
• The non-principal 2-blocks of sporadic simple groups^*
• The alperin and dade conjectures for the simple mathieu groups
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