主讲人：Professor Natalia Maslova

组织单位：数学与大数据学院

讲座时间：2020年10月20日上午11:00-12:00

讲座形式：Zoom 会议室，********

内容简介：

Let G be a finite group. The spectrum of G is the set of all its element orders. The Gruenberg-Kegel graph (the prime graph) of G is a graph whose vertex set is the set of all prime divisors of the order of G, and two distinct vertices are adjacent in this graph if and only if their product is an element order of G. The spectrum is a very important invariant of a finite group. For example, any finite simple group is recognizable by its spectrum and its order.  The concept of the Gruenberg-Kegel graph of a finite group widely generalizes the concept of the spectrum. In this talk, we discuss some characterizations of finite groups by properties of their spectra and Gruenberg-Kegel graphs, in particular, we discuss questions of recodnazibllity of a finite groups by its spectrum, by its Gruenberg-Kegel graph, and by some its other arithmetic invariants.

讲座人简介：

Natalia Maslova is a Professor at Ural Federal University and a Leading Researcher at the Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences. Natalia’s research focuses on group theory and combinatorics. She obtained the Doctor of Sciences (Doctor Habil.) in Mathematics in 2019 and also in the same year she was awarded this year’s Cheryl E. Praeger Visiting Research Fellowship.（Natalia Maslova是乌拉尔联邦大学的教授，也是俄罗斯科学院乌拉尔分院克拉索夫斯基数学和力学研究所的首席研究员。Natalia的研究领域包含群论和组合学。她于2019年获得俄罗斯数学科学博士学位，并于当年获得Cheryl E. Praeger访问研究奖学金。）