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Carter subgroups of singular classical groups over finite fields

Carter subgroups of singular classical groups over finite fields
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摘要 Let F q be a finite field with qelements where q=p~α. In the present paper, the authors study the existence and structure of Carter subgroups of singular symplectic group Sp (n+t,n)(F q), singular unitary group U (n+t,n)(F (q^2)) and singular orthogonal group O (n+t,n)(F q)(n is even) over finite fields F q. Let F q be a finite field with qelements where q=p~α. In the present paper, the authors study the existence and structure of Carter subgroups of singular symplectic group Sp (n+t,n)(F q), singular unitary group U (n+t,n)(F (q^2)) and singular orthogonal group O (n+t,n)(F q)(n is even) over finite fields F q.
作者 高有 石新华
机构地区 College of Sciences
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2004年第3期341-346,共6页 哈尔滨工业大学学报(英文版)
基金 SponsoredbytheNationalNaturalFoundationofTianjinCity(GrantNo .0 3 3 610 3 11)
关键词 finite field singular classical groups Carter subgroup 有限域 奇异古典群 卡特子群 有限群 辛群
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参考文献8

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  • 4MARTINO L D,TAMBURINI M C,ZALESSKII A E.Carter subgroups in classical groups[].Journal of the London Mathematical Society.1997
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