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4-26吴文俊数学重点实验室组合图论系列讲座之九十八【Vdovin Evgeny】

题目: On the base size of a finite group with solvable point stabilizer

 

报告人:Vdovin Evgeny

        Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy  

        of Sciences, Novosibirsk

        Novosibirsk State University

 

时间:  4月26日下午, 2:30-3:30

 

地点:1518

 

摘要: Assume that a finite group G acts faithully and transitively on a set Ω. Assume also that the point stabilizer is solvable and that the solvable radical of G is trivial. Problem 17.41 from “Kourovka notebook” asserts that there exists at most 7 (in strong form at most 5) points of Ω such that their pointwise stabilizer in G is trivial. We discuss the progress in solution of this Problem.

  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会