Zappa-Szép products and Higher-Rank Graphs

Document Type

Presentation Abstract

Presentation Date

9-15-2025

Abstract

Zappa-Szép products are a generalization of a semidirect product, in which two groups act on each other compatibly to form a new group. In recent years, the notion of Zappa-Szép product has been extended from groups to a wide variety of mathematical structures, including the higher-rank graphs which are the focus of my research. In 2021, a summer research team consisting of UM students Adlin Abell-Ball, George Glidden-Handgis, and S. Joseph Lippert discovered a new Zappa-Szép like structure for higher-rank graphs, which does not quite coincide with the existing definition in the literature. In this talk, I'll tell you about their work, and how it sheds new light on the structure of higher-rank graphs.

Additional Details

September 15, 2025 at 3:00 p.m. Math 103

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