报告人：孟沆洋（上海大学）
时间：5月18日10:10-11:10
地点：36-507
报告摘要：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.
报告人简介：孟沆洋，上海大学理学院数学系教授，博士生导师，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。 获上海市2020年度扬帆计划项目、2020年度上海市引智人才XSC计划，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。
