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Questions concerning Cayley graphs, regardless of whether the group be finite, infinite, abelian, non-abelian. Strong connections to geometric group theory.

18 votes
7 answers
3k views

Spectral properties of Cayley graphs

Let $G$ be a finite group. Do eigenvalues of its Cayley graph say anything about the algebraic properties of $G$? The spectrum of Cayley graph may depend on the presentation, so it's not a good invari …
Marcin Kotowski's user avatar