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

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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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