We classify the radical p-subgroups and chains of the Fischer simple group Fi(24)' and then verify the Alperin weight conjecture and the Uno reductive conjecture for Fi(24)'.
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Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R ChinaUniv Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
Feng, Zhicheng
Li, Zhenye
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Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R ChinaUniv Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
Li, Zhenye
Zhang, Jiping
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Southern Univ Sci & Technol, SICM, Shenzhen 518055, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaUniv Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China