Union of products of subgroups in finite groups

发布时间：2025-08-01 作者：浏览次数：

Speaker:	孟沆洋	DateTime:	2025年8月5日（周二）下午14:30-15:10
Brief Introduction to Speaker: 上海大学		Place:	国交2号楼315报告厅
Abstract: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.