The Essential 2-rank for Classical Groups

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摘要 Let G be a symplectic or orthogonal group defined over a finite field with odd characteristic and let D≤G be a Sylow 2-subgroup.In this paper,we classify the essential 2-subgroups and determine the essential 2-rank of the Frobenius category FD(G).Together with the results of An–Dietrich and Cao–An–Zeng,this completes the work of essential subgroups and essential ranks of classical groups.

作者 Jian Bei AN Yong XU

机构地区 Department of Mathematics School of Mathematics and Statistics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第9期2169-2186,共18页 数学学报（英文版）

基金 supported by the National Natural Science Foundation of China (Grant Nos. 11601225,11871360) the Foundation for University Young Key Teacher by He’nan Education Committee (Grant No.2020GGJS079) the China Scholarship Council supported by the Marsden Fund (of New Zealand) via award number UOA 1626

关键词 Frobenius category conjugation families essential 2-rank symplectic groups orthogonal groups

分类号 O152 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2024年第9期

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The Essential 2-rank for Classical Groups

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