Conjectures on the character degrees of the Harada-Norton simple group \(HN\).

DOI10.1007/BF02785960zbMath1123.20301OpenAlexW1972452573WikidataQ122962497 ScholiaQ122962497MaRDI QIDQ2382231

Jianbei An, E. A. O'Brien

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785960

zbMATH Keywords

Alperin weight conjectureradical subgroupsHarada-Norton simple groupIsaacs-Navarro conjectureradical chainsDade invariant conjectureDade reductive conjecture

Mathematics Subject Classification ID

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

Related Items (7)

Uno's invariant conjecture for Chevalley groups \(G_2(q)\) in nondefining characteristics. ⋮ Conjectures on the character degrees of the Harada-Norton simple group \(HN\). ⋮ A reduction theorem for Dade's projective conjecture ⋮ Modular representation theory of blocks with trivial intersection defect groups. ⋮ The AWC-goodness and essential rank of sporadic simple groups. ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ The Inductive McKay Condition for Simple Groups Not of Lie Type

Uses Software

• GAP
• Magma

Cites Work

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• Counting characters in blocks. I
• Maximal subgroups of the Harada-Norton group
• A local strategy to decide the Alperin and Dade conjectures
• Counting characters in blocks with cyclic defect groups. I
• The Magma algebra system. I: The user language
• Conjectures on character degrees for the simple Thompson group.
• Dade's conjecture for tame blocks
• New refinements of the McKay conjecture for arbitrary finite groups
• The Alperin and Dade conjectures for the Conway simple group \(Co_1\).
• Standard generators for sporadic simple groups
• Conjectures on the character degrees of the Harada-Norton simple group \(HN\).
• Blocks with cyclic defect groups
• THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃
• THE ALPERIN AND DADE CONJECTURES FOR THE O′NAN AND RUDIVALIS SIMPLE GROUPS
• The Alperin and Uno Conjectures for the Fischer Simple Group Fi₂₂

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