报告题目1:Extensionsof associative and Lie algebras
报告人:陈裕群教授(华南师范大学)
报告时间:12月22日(周二)下午15:30-16:30
报告地点:4号楼4318室
报告题目2:Coverand avoidance properties and the structure of finite groups
报告人:李样明教授(广东第二师范学院)
报告时间:12月22日(周二)下午16:30-17:30
报告地点:4号楼4318室
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数学学院
2015年12月17日
报告摘要1:LetA be an algebra over a _eld k. If C is an ideal of A and B _= A=C,then A is called an extension of B by C. By using theGrobner-Shirshov bases theory, we give completely
characterizationsof the extensions of associative and Lie algebras respectively.
报告摘要2:LetG be a finite group and H is a subgroup of G. We call H has thecover-avoidance property in G , H is a CAP subgroup of G in short, ifH either covers or avoids every chief factor of G. We give thestructure of a finite group G under the assumption that somesubgroups have the cover-avoidance property.