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

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

2004-06-10

arxiv.org/abs/math/0406217v2

Mathematics

Combinatorics

minor corrections

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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