中俄数学中心讨论班——Groups with restrictions on the set of conjugacy classes sizes

• 主讲人：Ilya Gorshkov (Sobolev Institute of Mathematics, Novosibirsk, Russia)
• 时间： 2026-05-20 14:30 - 2026-05-20 15:30
• 地点： 智华楼413号教室

 

Abstract：This talk is devoted to the problem of reconstructing the structure of a finite group from its invariant $N(G)$—the set of conjugacy classes  sizes. We will consider questions about how uniquely this set of numbers determines the group, especially in the class of groups with trivial center. The main topics of the talk are:
1. Graph Methods: Introduction and use of various graphs on the set $N(G)$ for group structure analysis, such as the divisibility graph and the prime graph.
2. Special Classes of Groups: Investigation of the properties of $CH$-groups and $SP$-groups.
3. Nilpotency Problem: We discuss Camina's conjecture on whether the nilpotency of a group $G$ follows from the coincidence of its $N(G)$ with $N(H)$, where $H$ is a nilpotent group.

 

Zoom Link：https://us02web.zoom.us/j/83690328797?pwd=am1JjwGhpqzYy8Z2Lcct21uqfwuiAw.1

 

ID：836-9032-8797 ，Password：340130