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 o...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.展开更多
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)+1 种基金the China Scholarship Council,he thanks Jianbei An for the hospitality during an invited research visit to the University of Aucklandsupported by the Marsden Fund(of New Zealand),via award number UOA 1626。
文摘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.
