Infinite Matrices

Abstract: To understand a theory, it is always good to work with objects that are easier to understand and work with. With that in mind, me and my supervisors developed a theory for infinite matrices indexed by posets over a ring. On the presentation I will talk about how to define these rings/groups, how to write these groups/rings as inverse limits of finite matrices rings, isomorphism problems and new simple totally disconnected groups that arise from the theory.

This work is a generalization of the work done by Peter Groenhout, Colin D. Reid and George A. Willis: arxiv.org/pdf/1911.09956.pdf

group theory

Audience: researchers in the topic

World of GroupCraft