群论及其应用
（李才恒）MAT80232024春 2023春 2022春 2021春 2019秋2024春 2023春 2022春 2021春 2019秋
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| 选课类别：专业任务 | 教学语言：英文 |
| 课程类别：专业必修课 | 开课单位：数学系 |
| 课程层次：未知 | 获得学分：3.0 |
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课程简介（教工部数据）
让学生熟练掌握群论及对称图论的基本知识、方法，及其主流问题和重要问题；通过学习有限单群分类定理，了解该领域的发展趋势。学生学习内容包括有限群的结构及群作用、有限域上的群表示论、有限典型群的子群、群在图上的作用、图的对称性以及凯莱图的同构问题。
Students are supposed to understand basic knowledge and methods of group theory and symmetric graph theory, as well as their mainstream and important problems. Students can also understand the development tendency of group theory by learning the classification of finite simple groups. The main content includes Structures and actions of finite groups，group representations over finite fields, subgroups of finite classical groups, group actions on graphs and graph symmetries, and isomorphism problems for Cayley graphs.
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