57 citations · 197 across the 35 of their papers we have counts for
4 papers · 1 filter
Loops with involution and the Cayley-Dickson doubling process
Adam Chapman, Ilan Levin, Uzi Vishne +1
We develop a theory of loops with involution. On this basis we define a Cayley-Dickson doubling on loops, and use it to investigate the lattice of varieties of loops with involutio…
Property testing and expansion in cubical complexes
David Garber, Uzi Vishne
We consider expansion and property testing in the language of incidence geometry, covering both simplicial and cubical complexes in any dimension. We develop a general method for p…
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…
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-…