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Luna Gal | 2025 I.S. Symposium

Round yellow button featuring a white illustration of a campus building with black text reading "I DID IT! THE COLLEGE OF WOOSTER"—given to students upon submitting their Independent Study.

Name: Luna Gal
Title: The Growth of Baumslag-Solitar Groups
Major: Mathematics
Advisors: Cynthia Lester; Robert Kelvey

In this Independent Study, we discuss established results in the growth of the Baumslag-Solitar groups, focusing on research published by Freden et al. 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.Finally, we discuss the geometry of Baumslag-Solitar groups in depth and discuss how previous research has used formal languages to investigate their growth.

Poster titled “The Growth of Baumslag–Solitar Groups by Luna Gal” explains paths in Cayley graphs, shortest paths, context-free vs. context-sensitive grammars, and how parse trees model shortest paths.

Posted in Symposium 2025 on May 1, 2025.

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