Isospectral Cayley graphs of some finite simple groups

Alexander Lubotzky; Beth Samuels; Uzi Vishne

doi:10.1215/S0012-7094-06-13526-3

Isospectral Cayley graphs of some finite simple groups

Alexander Lubotzky^*, Beth Samuels, Uzi Vishne

^*Corresponding author for this work

Einstein Institute of Mathematics

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

12 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	381-394
Number of pages	14
Journal	Duke Mathematical Journal
Volume	135
Issue number	2
DOIs	https://doi.org/10.1215/S0012-7094-06-13526-3
State	Published - 1 Nov 2006

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title = "Isospectral Cayley graphs of some finite simple groups",

abstract = "We apply spectral analysis of quotients of the Bruhat-Tits buildings of type {\~A}d-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.",

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AB - 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.

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Isospectral Cayley graphs of some finite simple groups

Abstract

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