Explicit constructions of Ramanujan complexes of type Ãd

Alexander Lubotzky; Beth Samuels; Uzi Vishne

doi:10.1016/j.ejc.2004.06.007

Explicit constructions of Ramanujan complexes of type Ã_d

Alexander Lubotzky^*, Beth Samuels, Uzi Vishne

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

88 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 B_d(F) associated with PGL_d(F).

Original language	English
Pages (from-to)	965-993
Number of pages	29
Journal	European Journal of Combinatorics
Volume	26
Issue number	6 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.ejc.2004.06.007
State	Published - Jul 2005

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10.1016/j.ejc.2004.06.007

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title = "Explicit constructions of Ramanujan complexes of type {\~A}d ",

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).",

author = "Alexander Lubotzky and Beth Samuels and Uzi Vishne",

year = "2005",

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doi = "10.1016/j.ejc.2004.06.007",

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T1 - Explicit constructions of Ramanujan complexes of type Ãd

AU - Lubotzky, Alexander

AU - Samuels, Beth

AU - Vishne, Uzi

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AB - 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).

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AN - SCOPUS:14644412918

SN - 0195-6698

VL - 26

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 6 SPEC. ISS.

ER -

Explicit constructions of Ramanujan complexes of type Ã_d

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