57 citations · 197 across the 35 of their papers we have counts for
5 papers · 1 filter
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…
The Coxeter quotient of the fundamental group of a Galois cover of T \times T
Amram Meirav, Mina Teicher, Uzi Vishne
Let be the surface $\T\times\T$ where $\T$ is the complex torus. This paper is the third in a series, studying the fundamental group of the Galois cover of \wrt a generic p…
Probabilistic Solutions of Equations in the Braid Group
D. Garber, S. Kaplan, M. Teicher +2
Given a system of equations in a "random" finitely generated subgroup of the braid group, we show how to find a small ordered list of elements in the subgroup, which contains a sol…