12 citations · 16 across the 5 of their papers we have counts for
7 papers
Isospectral Cayley graphs of some finite simple groups
Alexander Lubotzky, Beth Samuels, Uzi Vishne
We apply spectral analysis of quotients of the Bruhat-Tits buildings of type to construct isospectral non-isomorphic Cayley graphs of the finite simple groups $\o…
Division Algebras and Non-Commensurable Isospectral Manifolds
Alexander Lubotzky, Beth Samuels, Uzi Vishne
A. Reid showed that if and are arithmetic lattices in or in which give rise to isospectral manif…
Explicit Constructions of Ramanujan Complexes of Type
Alex Lubotzky, Beth Samuels, Uzi Vishne
In this paper we present for every and every local field of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the Bruhat-…
Ramanujan Complexes of Type
Alex Lubotzky, Beth Samuels, Uzi Vishne
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs. They are obtained as quotients of the buildi…
Coxeter covers of the symmetric groups
Louis H. Rowen, Mina Teicher, Uzi Vishne
We study Coxeter groups from which there is a natural map onto a symmetric group. Such groups have natural quotient groups related to presentations of the symmetric group on an arb…
-classification of real arrangements with up to eight lines
David Garber, Mina Teicher, Uzi Vishne
One of the open questions in the geometry of line arrangements is to what extent does the incidence lattice of an arrangement determine its fundamental group. Line arrangements of…