Mathematics Graduate Students Organization

Seminar:

Date: February 23

The study of group presentations has origins in topology and is a major part of geometric and combinatorial group theory. In this talk I will introduce a special family of group presentations called L-presentations (or endomorphic presentations). These are generalizations of finite presentations in which the set of relators are not necessarily finite but can be constructed by iterated applications of endomorphisms of a free group. The study of such presentations started with the study of self-similar groups and there are several open problems. I will talk about the history and examples of L-presentations and as well as applications. Also some recent results about normal subgroups of finitely presented groups will be presented.