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arxiv: math/0406217 · v2 · submitted 2004-06-10 · 🧮 math.CO · math.GR

Explicit Constructions of Ramanujan Complexes of Type tilde{A}_d

classification 🧮 math.CO math.GR
keywords complexesconstructionseveryexplicitramanujanassociatedbruhat-titsbuilding
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In this paper we present for every $d \geq 2$ and every local field $F$ of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the Bruhat-Tits building $\B_d(F)$ associated with $\operatorname{PGL}_d(F)$.

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