Explicit constructions of Ramanujan complexes of type Ãd

Alexander Lubotzky, Beth Samuels, Uzi Vishne

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77 Scopus citations

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 Bd(F) associated with PGLd(F).

Original languageEnglish
Pages (from-to)965-993
Number of pages29
JournalEuropean Journal of Combinatorics
Volume26
Issue number6 SPEC. ISS.
DOIs
StatePublished - Jul 2005

Bibliographical note

Funding Information:
This research was supported by the NSF and the BSF (U.S.–Israel).

Funding

This research was supported by the NSF and the BSF (U.S.–Israel).

FundersFunder number
U.S.–Israel
National Science Foundation
United States-Israel Binational Science Foundation

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