Isospectral Cayley graphs of some finite simple groups

Alexander Lubotzky, Beth Samuels, Uzi Vishne

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We apply spectral analysis of quotients of the Bruhat-Tits buildings of type Ãd-1 to construct isospectral nonisomorphic Cayley graphs of the finite simple groups PSLd(double script F signq)for every d ≥ 5 (d ≠ 6) and prime power q > 2.

Original languageEnglish
Pages (from-to)381-394
Number of pages14
JournalDuke Mathematical Journal
Volume135
Issue number2
DOIs
StatePublished - 1 Nov 2006

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