Isospectral Cayley graphs of some finite simple groups
Lubotzky, Alexander ; Samuels, Beth ; Vishne, Uzi
Duke Math. J., Tome 131 (2006) no. 1, p. 381-393 / Harvested from Project Euclid
We apply spectral analysis of quotients of the Bruhat-Tits buildings of type $\tilde{A}_{d-1}$ to construct isospectral nonisomorphic Cayley graphs of the finite simple groups $PSL_d ({\mathbb {F}}_q)$ for every $d \geq 5$ ( $d \neq 6$ ) and prime power $q > 2$
Publié le : 2006-11-01
Classification:  05C25,  11F70
@article{1161093269,
     author = {Lubotzky, Alexander and Samuels, Beth and Vishne, Uzi},
     title = {Isospectral Cayley graphs of some finite simple groups},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 381-393},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1161093269}
}
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi. Isospectral Cayley graphs of some finite simple groups. Duke Math. J., Tome 131 (2006) no. 1, pp.  381-393. http://gdmltest.u-ga.fr/item/1161093269/