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Carter Subgroups of Pseudo-symplectic Groups

Carter Subgroups of Pseudo-symplectic Groups
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摘要 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. 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.
出处 《Northeastern Mathematical Journal》 CSCD 2000年第4期469-474,共6页 东北数学(英文版)
关键词 finite field of characteristic 2 Pseudo symplectic Carter subgroup finite field of characteristic 2, Pseudo symplectic, Carter subgroup
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参考文献10

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