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5月19日讲座——AndreyVasilyev教授:Finite groups and their arithmetic invariants

编辑:院研究生办 发布日期: 2021-05-11 来源:院研究生办

讲座题目: Finite groups and their arithmetic invariants

人:Andrey Vasilyev教授俄罗斯科学院Sobolev数学研究所

讲座时间:20210519日上午1100-1200

讲座地点:线上

腾讯会议:点击链接入会,或添加至会议列表:

https://meeting.tencent.com/s/KoaHfLPsLUBq

会议ID473 281 573密码:654321

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理学院

20200511

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.

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