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.