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most citedZeta Functions for Spherical Tits Buildings of Finite General Linear Groups

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math.CO2024

Edge Zeta Functions and Eigenvalues for Buildings of Finite Groups of Lie Type

Jianhao Shen

For the Tits building B(G) of a finite group of Lie type G(Fq), we study the edge zeta function, which enumerates edge-geodesic cycles in the 1-skeleton. We show that every nonzero…

math.CO2023★ 1 cited

Zeta Functions for Spherical Tits Buildings of Finite General Linear Groups

Jianhao Shen

In this paper, we define edge zeta functions for spherical buildings associated with finite general linear groups. We derive elegant formulas for these zeta functions and reveal pa…