THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi23

DOI10.1142/S0218196799000369zbMath0949.20010OpenAlexW2074622917WikidataQ123191374 ScholiaQ123191374MaRDI QIDQ4484939

Jianbei An, E. A. O'Brien

Publication date: 3 December 2000

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196799000369

zbMATH Keywords

Alperin weight conjectureradical subgroupsDade final conjectureFischer simple group \(Fi_{23}\)

Mathematics Subject Classification ID

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

Related Items

Conjectures on the character degrees of the Harada-Norton simple group \(HN\)., The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J₄, The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, _p Odd, A reduction theorem for Dade's projective conjecture, THE 2-LOCAL RANKS OF LARGE SPORADIC GROUPS, Blocks with extraspecial defect groups of finite quasisimple groups., The AWC-goodness and essential rank of sporadic simple groups., Radical 2-subgroups of the Monster and the Baby Monster., The Alperin and Uno Conjectures for the Fischer Simple Group Fi₂₂, The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′₂₄, COMPUTING LOCAL RANKS IN SPORADIC GROUPS, Odd radical subgroups of some sporadic simple groups., The radical subgroups of the Fischer simple groups, The radical 2-subgroups of some sporadic simple groups

Uses Software

• Magma

Cites Work

• Counting characters in blocks. I
• 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
• Dade's conjecture for symmetric groups
• Standard generators for sporadic simple groups
• The Local Subgroups of the Fischer Groups
• Generating random elements of a finite group