学术报告
题 目:On finite groups that are the products of two subnormal supersoluble subgroups
报 告 人:李样明 教授 (邀请人:张霞 )
广东第二师范学院
时 间:3月25日 10:00-11:00
地 点:数科院东楼401
报告人简介:
广东第二师范学院数学学院院长, 理学博士, 博士后, 教授, 博士生导师(贵州师范大学), 国际期刊JP Journal of Algebra ,Number Theory and Application (India)的编委. 获得广东省科学技术奖二等奖、广东省“南粤优秀教师”等荣誉,主持国家自然科学基金面上项目等项目10多项,发表论文100多篇,其中被SCI收录70多篇。先后出访美国、澳大利亚、西班牙、意大利、新加坡等地的大学10余次。
摘 要:
Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by $\mathfrak{B}_1$ and $\mathfrak{B}_2$, respectively. In this paper, a characterisation of groups in $\mathfrak{B}_1$ and $\mathfrak{B}_2$ is given. By applying this new characterisation, some new properties of $\mathfrak{B}_1$ ($\mathfrak{B}_2$) and new proofs of many known results about $\mathfrak{B}_1$ or $\mathfrak{B}_2$ are obtained. Further, closure properties of $\mathfrak{B}_1$ and $\mathfrak{B}_2$ are discussed.