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Explicit Constructions of Ramanujan Complexes of Type Ad

Alex Lubotzky, Beth Samuels, Uzi Vishne

math.COarXiv:math/0406217

Abstract

In this paper we present for every d ≥ 2 and every local field F of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the Bruhat-Tits building d(F) associated with PGLd(F).

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