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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"鈥攇iven to students upon submitting their Independent Study.

狈补尘别:听Luna Gal
罢颈迟濒别:听The Growth of Baumslag-Solitar Groups
惭补箩辞谤:听Mathematics
础诲惫颈蝉辞谤蝉:听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 鈥淭he Growth of Baumslag鈥揝olitar Groups by Luna Gal鈥 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.