Beth Samuels

most citedDivision Algebras and Non-Commensurable Isospectral Manifolds

12 citations · 16 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2005

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 $A ~_{d - 1}$ to construct isospectral non-isomorphic Cayley graphs of the finite simple groups $\o…

math.SP2005★ 12 cited

Division Algebras and Non-Commensurable Isospectral Manifolds

Alexander Lubotzky, Beth Samuels, Uzi Vishne

A. Reid showed that if $Γ_{1}$ and $Γ_{2}$ are arithmetic lattices in $G = PGL_{2} (R)$ or in $PGL_{2} (C)$ which give rise to isospectral manif…

math.CO2004★ 3 cited

Explicit Constructions of Ramanujan Complexes of Type $A ~_{d}$

Alex Lubotzky, Beth Samuels, Uzi Vishne

In this paper we present for every $d \geq 2$ and every local field $F$ of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the Bruhat-…

math.RT2004★ 1 cited

Ramanujan Complexes of Type $A_{d} ~$

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…

Isospectral Cayley graphs of some finite simple groups

Division Algebras and Non-Commensurable Isospectral Manifolds

Explicit Constructions of Ramanujan Complexes of Type A~d​

Ramanujan Complexes of Type Ad​~​

Explicit Constructions of Ramanujan Complexes of Type $A ~_{d}$

Ramanujan Complexes of Type $A_{d} ~$