Element orders and the structure of a finite group

• 主讲人：Mariya Grechkoseeva（Sobolev Institute of Mathematics）
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2024-03-15 17:00 - 2024-03-15 18:00
• 地点： online

Recording: https://disk.pku.edu.cn/link/AACCF70BA56A154F6494CC06C0A811B8F3
Valid Until: 2028-04-20 08:39

 

 

Abstract: To every finite group G, we can assign the set $\omega(G)$ consisting of all positive integers arising as element orders of G (so, for example, $\omega(A_5)=\{1,2,3,5\}$). It is a natural question to ask what we can say about the structure of G given some properties of $\omega(G)$. Within this framework, I will discuss a more narrow question of to what extent $\omega(G)$ determines G provided that G is a finite nonabelian simple group.

 

Bio: Mariya Grechkoseeva works at the Sobolev Institute of Mathematics, Novosibirsk. She is a Doctor of Physics-Mathematics Sciences (Russian analogue of habilitation) and a head of the laboratory of algebra.