域上辛群的外直积群及其性质

Direct product group of symplectic group over field and it's some characteristics

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。

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.