The spectrum of the unit-graph on Mat_3(F_q) consists of four distinct eigenvalues, implying a spectral gap that ensures large subsets have invertible differences.
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Spectrum of the Unit-Graph on $\mathrm{Mat}_3(\mathbb{F}_q)$
The spectrum of the unit-graph on Mat_3(F_q) consists of four distinct eigenvalues, implying a spectral gap that ensures large subsets have invertible differences.