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域上辛群的外直积群及其性质
引用本文:吴炎.域上辛群的外直积群及其性质[J].陕西师范大学学报,1999(Z1).
作者姓名:吴炎
作者单位:琼州大学数学系
摘    要:以辛矩阵运算及性质为基础,以辛方阵列为重要工具,定义了特征数为零的域K上(chK=0)辛群Spn(K)的外直积群G,并通过辛方阵列的运算来处理和讨论(域K上)辛群的外直积群及其一些不变子群和自同构等,具体指出了辛群Spn(K)的外直积群的中心由哪些元素构成

关 键 词:辛群Sp_n(K)的外直积群  不变子群  自同构

Direct product group of symplectic group over field and it's some characteristics
Wu Yan.Direct product group of symplectic group over field and it's some characteristics[J].Journal of Shaanxi Normal University: Nat Sci Ed,1999(Z1).
Authors:Wu Yan
Abstract:Based on symplectics matrixs and its characteristic,and by symplectics matrixs column the essay defines direct product group of symplectics group over field K which characteristic is zero (ch K =0).The article also deals with and researches to some normal subgroup of direct product group of symplectics group and its outomophism by the operation of symplectics matrixs.And the article points out what elements the center of direct product group of symplectics group is composed of in detail.
Keywords:direct product group symplectis group  normal subgroups  outomorphism
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