讲座题目：Union of products of subgroups in finite groups
主 讲 人：孟沆洋 副教授（上海大学）
讲座时间：2024年10月15日（周二）11:00时
讲座地点：钱伟长楼109
欢迎有兴趣的师生前来聆听、交流。
云顶集团yd1233
2024年10月12日
讲座内容简介：
In this talk, we will introduce some interesting results about the union of two products of subgroups. Let G be a finite group and A，B，C be subgroups of G. We prove that if G is the union of AB and BC, then G = AB or G = BC. But if G is the union of BA and BC, we can not obtain that G = BA or G = BC in general. We also prove that if G is a 2-decomposed group, and G is a Sylow tower group or G is nilpotent-by-nilpotent, then G = BA ∪ BC implies that G = BA or G = BC. This is a joint work with Adolfo Ballester-Bolinches and Gil Kaplan.
主讲人简介：
孟沆洋，上海大学云顶集团yd1233数学系副教授，西班牙瓦伦西亚大学基础数学博士，主要研究领域为有限群论及其表示。相关结果发表于Trans. Amer. Math. Soc., J. Lond. Math. Soc.，Proc. Amer. Math.Soc.，J. Algebra等杂志。 2021年获 Baer Prize特别提名奖，主持国家自然科学基金青年项目一项，面上项目一项。
