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学术报告

Connectedness of generating sets for finite groups

题 目: Connectedness of generating sets for finite groups

报告人:Prof. Marston Conder (University of Auckland, 新西兰)

摘要:

Suppose $G$ is a finitely-generated group, and $X$ and $Y$ are two generating sets for $G$ with $|X| = |Y|$.  Under what conditions can $X$ be `transformed' to $Y$ by a sequence of single-element replacements?

This very general question relates to a number of things, including the product replacement algorithm, T-systems for finite groups, and expansion in Cayley graphs.  Some recent progress will be described, especially in the case of 2-generator finite groups.

 

时间:5月6日(周五)下午3:00-4:00

地点:首都师大北一区文科楼708教室