讲座题目: Finite groups and their arithmetic invariants

主 讲 人：Andrey Vasilyev教授 俄罗斯科学院Sobolev数学研究所

讲座时间：2021年05月19日上午11：00-12：00

讲座地点：线上

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            2020年05月11日

讲座内容简介：

The elementary assertion that groups of exponent 2 are abelian and one of the most complicated theorems in the finite group theory on solvability of groups of odd order are similar in the following sense. In both cases arithmetical, i.e., expressed by numbers, properties of a group allow us to conclude on its structure. The strongest conclusion that can be made in this direction is that a group is uniquely, up to isomorphism, determined by a set of number parameters. In such cases the group is said to be recognizable by this set. The set of element orders of a group is called the spectrum of the group. In this talk we consider modern aspects of a problem of recognition of a finite group by its spectrum in the class of finite groups.