局部环上辛群的一类极大子群

典型群理论是群理论的重要组成部分，辛群是一类重要的典型群。典型群的子群结构研究的目的是定出所有典型群的所有极大子群。对于典型群的研究一般有两种方法：几何方法和矩阵分析方法。主要对局部环上的辛群进行研究。设尺是特征不为2的局部环，M是尺的唯一极大理想，R／M表示其决定的剩余类域，m是正整数，Sp（2m，R）为尺上的辛群。利用矩阵技巧和局部环的相蔓性质，主要讨论局部环尺上辛群印（2m，R）的一类子群的结构，并获得其一类极大子群。

A Type of Maximal Subgroups of Symplectic Groups over Local Rings

The classical group theory is an important part of group theory, and the symplectic group is one significant kind of such classical groups. The aim of research on subgroup structure of classical groups is to determine the maximal subgroups of all classical groups. There are two ways to study the classical groups ： geometry technique and matrix theory. This paper mainly focuses on the subgroups of a sympleetic group over a local ring. Let be a local ring,be the unique maximal ideal of,be the reside field of, be a positive integer, be the symplectic group over. In this paper, by applying matrix skills and the properties of local rings, we make some research on the subgroup structure of the sympleetie groups over rings, particularly over the local rings, and obtain a type of maximal subgroup of symplectic groups.