5 papers
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 $Î…
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 fundamental group of Galois covers of surfaces with octahedral envelope
Meirav Amram, Cheng Gong, Praveen Kumar Roy +2
We compute the fundamental group of the Galois cover of a surface of degree~, with singularities of degree , whose degeneration envelope is isomorphic to an octahedron. The g…