The 2-Local Ranks of Some Sporadic Groups

DOI10.1142/S1005386713000527zbMath1280.20016OpenAlexW2025386531MaRDI QIDQ2862491

Bao-Shan Wang

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000527

zbMATH Keywords

sporadic simple groupsmodular representationsradical subgroups\(p\)-local ranks

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Cites Work

• Counting characters in blocks. I
• On finite simple groups of \(p\)-local rank two.
• Maximal subgroups of the Harada-Norton group
• A local strategy to decide the Alperin and Dade conjectures
• Some homotopy equivalences for sporadic geometries
• The \(3\)-radicals of \(Co_1\) and the \(2\)-radicals of \(Rud\)
• The radical 2-subgroups of some sporadic simple groups
• Radical 2-subgroups of the Monster and the Baby Monster.
• The Alperin and Dade conjectures for the simple Conway's third group
• COMPUTING LOCAL RANKS IN SPORADIC GROUPS
• The subgroup structure of the Lyons group
• The alperin and dade conjectures for the simple mathieu groups
• The subgroup structure of the Higman-Sims simple group

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