局部环上辛群的一类子群的极大性

One Type of Maximal Subgroups in Symplectic Groups over Local Rings

设R是一个特征不为 2的局部环 ,m是个正整数 ,S是R的唯一的极大理想 ,得到了R上的辛群Sp(2m ,R)的一类极大子群。

Let R be a local ring and char R 2, m be a positive integer, S be the unique maximal ideal of R. In this paper, one type of maximal subgroups of symplectic groups Sp(2m,R)over R are obtained.