Let F q be a finite field of characteristic 2. In this paper, the authors study the existence and structure of Carter subgroups of pseudo symplectic groups Ps 2v+δ (F q) (δ=1 or 2) of degree 2v+δ ...Let F q be a finite field of characteristic 2. In this paper, the authors study the existence and structure of Carter subgroups of pseudo symplectic groups Ps 2v+δ (F q) (δ=1 or 2) of degree 2v+δ over F q . The main results are that if q>2 then there exists no Carter subgroups in Ps 2v+δ (F q) , and that if q=2 then Carter subgroups of Ps 2v+δ (F q) are normalizers of its Sylow 2 subgroups.展开更多
文摘Let F q be a finite field of characteristic 2. In this paper, the authors study the existence and structure of Carter subgroups of pseudo symplectic groups Ps 2v+δ (F q) (δ=1 or 2) of degree 2v+δ over F q . The main results are that if q>2 then there exists no Carter subgroups in Ps 2v+δ (F q) , and that if q=2 then Carter subgroups of Ps 2v+δ (F q) are normalizers of its Sylow 2 subgroups.
