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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.
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halved and folded hypercube duality
Notation. Consider the group $\Gamma=\mathbb{Z}_2^n$. I will denote the group operation aditively and by $\epsilon_i=(0,\dots,0,1,0,\dots,0)$ I denote the canonical generators. Let's define also $\eps …
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Commutative Schur ring over non-abelian group
Is there a commutative (or even symmetric) Schur ring $S\subset\mathbb{C}G$ over a non-abelian group $G$, which is not isomorphic (preserving both the products) to a Schur ring $S'\subset\mathbb{C}G'$ …