The Growth of Groups: Formal Languages and Baumslag-Solitar Groups

Authors

Oscar Gal, The College of WoosterFollow

Abstract

In this Independent Study, we discuss established results in the growth of the Baumslag- Solitar groups, focusing on research published by Freden et al. in [14]. We begin by reviewing some concepts in geometric group theory, including Cayley graphs and growth series. Next, we review the theory of formal languages and its connection to geometric group theory. In Chapter 4, we discuss the geometry of Baumslag-Solitar groups in depth and discuss how [5] and [14] uses facts about formal languages to investigate their growth.

Advisor

Lester, Cynthia

Department

Mathematics

Recommended Citation

Gal, Oscar, "The Growth of Groups: Formal Languages and Baumslag-Solitar Groups" (2025). Senior Independent Study Theses. Paper 11372.
https://openworks.wooster.edu/independentstudy/11372

Disciplines

Algebra

Keywords

group theory, geometric group theory, formal languages, baumslag-solitar groups

Publication Date

2025

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis