学术报告-李样明

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.