27 citations · 39 across the 5 of their papers we have counts for
5 papers
Purely exponential parametrizations and their group-theoretic applications
Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2
This paper is mainly motivated by the analysis of the so-called Bounded Generation property (BG) of linear groups (in characteristic ), which is known to admit far-reaching grou…
Bounded Generation by semi-simple elements: quantitative results
Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2
We prove that for a number field , the distribution of the points of a set with a purely exponential parametrization, for example a set of matrices bou…
Non-virtually abelian anisotropic linear groups are not boundedly generated
Pietro Corvaja, Andrei Rapinchuk, Jinbo Ren +1
We prove that if a linear group over a field of characteristic zero is boundedly generated by semi-simple (diagonalizable) elements then it is virtu…
Conjugation of semisimple subgroups over real number fields of bounded degree
Mikhail Borovoi, Christopher Daw, Jinbo Ren
Let be a linear algebraic group over a field of characteristic 0. We show that any two connected semisimple -subgroups of that are conjugate over an algebraic closur…
Applications of the hyperbolic Ax-Schanuel conjecture
Christopher Daw, Jinbo Ren
In 2014, Pila and Tsimerman gave a proof of the Ax-Schanuel conjecture for the -function and, with Mok, have recently announced a proof of its generalization to any (pure) Shimu…