CORDIS Project
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This project explores the properties of Cayley graphs in finite groups, focusing on word measures and their implications for understanding random structures. The research aims to address open questions in the field and enhance the mathematical theory surrounding these graphs.
Recent years brought immense progress in the study of Cayley graphs of finite groups, with many new results concerning their expansion, diameter, girth etc.
Yet, many central open questions remain.
These questions, especially those concerning random Cayley graphs, are major motivation to this proposed research.
Central in this project is the study of word measures in finite and compact groups. A word w in a free group F induces a measure on every finite or compact group G as follows: substitute…
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