学术报告：乔守红教授　广东工业大学

　　主  题：On subgroup perfect codes of finite Groups

　　报告人：乔守红 教授（广东工业大学）

　　时  间：2026年5月25日上午9:30—10:30

　　地  点：yl23411永利集团308会议室

　　摘  要：A perfect code C in a graph X is an independent set of X such that every vertex of X outside C is adjacent to exactly one vertex in C. A subgroup perfect code in a finite group G is a subgroup H that can be realized as a perfect code in a Cayley graph of G. In this talk, we will show that subgroup perfect codes can be characterized by the "local" complements and discuss the influences of subgroup perfect codes on the structure of 2-groups. We also investigate the core-free maximal subgroups of primitive groups G. Finally, we will present some applications of these results to linear groups and symmetrical groups. It is a joint work with N. Su, B. Xia, Z. Zhang and S. Zhou.

　　报告人简介：乔守红，广东工业大学yl23411永利集团教授，博士生导师，入选 “广东省高等学校优秀青年教师培养计划”。 研究方向为有限群理论及其应用，在Journal of Algebra、Journal of Pure and Applied Algebra、Science China Mathematics以及Discrete Mathematics等期刊上发表学术论文40余篇，主持国家自然科学基金面上项目、青年基金、天元基金以及博士后特别资助及面上项目等。