Ramanujan complexes of type Ãd*

Alexander Lubotzky*, Beth Samuels, Uzi Vishne

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

92 Scopus citations

Abstract

We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs (constructed in [LPS]). They are obtained as quotients of the buildings of type Ãd-1 associated with PGLd(F) where F is a local field of positive characteristic.

Original languageEnglish
Pages (from-to)267-299
Number of pages33
JournalIsrael Journal of Mathematics
Volume149
DOIs
StatePublished - 2005

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