57 citations · 197 across the 35 of their papers we have counts for
39 papers
Stabilizers in Coxeter groups with a transpositional action
Noa Cohen, Uzi Vishne
We study simply-laced Coxeter groups whose Coxeter diagram is the line graph of some simple graph ; such groups act on the set of vertices of the graph by transpo…
Makar-Limanov's problem on values of polynomials on matrices
Louis H. Rowen, Uzi Vishne
Suppose is an infinite field and let be a noncommutative polynomial. Partially answering a query of Makar-Limanov, we show that there are numbers $d…
Quotients of Buildings by Non-uniform Lattices
Orit Sela, Mary Schaps, Uzi Vishne
We consider quotients of the Bruhat-Tits building associated to the projective linear groups of dimension over the function field by a non-uniform lattice $Γ…
Mixability of finite groups
Gideon Amir, Guy Blachar, Subhajit Ghosh +1
Say that a finite group is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on . We present conditions and obstr…
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…
The algebra of supernatural matrices
Tamar Bar-On, Shira Gilat, Eli Matzri +1
The algebra of supernatural matrices is a key example in the theory of locally finite central simple algebras, which studied in a previous paper of the authors (\cite{Local}). It i…