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.
