67 citations · 358 across the 68 of their papers we have counts for
5 papers · 1 filter
Sylow-conjugate number fields
Alexander Lubotzky, Danny Neftin
By a classical result of Neukirch and Uchida, a number field K is determined by the structure of its absolute Galois group Gal(K). We show that K is not determined by the structure…
On representations of , and
Frauke M. Bleher, Ted Chinburg, Alexander Lubotzky
By work of Belyi, the absolute Galois group of the field of rational numbers can be embedded into $A=\m…
From Ramanujan Graphs to Ramanujan Complexes
Alexander Lubotzky, Ori Parzanchevski
Ramanujan graphs are graphs whose spectrum is bounded optimally. Such graphs have found numerous applications in combinatorics and computer science. In recent years, a high dimensi…
What Is... A Thin Group?
Alex Kontorovich, D. Darren Long, Alexander Lubotzky +1
This paper describes in basic terms what a "Thin Group" is, as well as its uses in various subjects.
The Galois group of random elements of linear groups
Alexander Lubotzky, Lior Rosenzweig
Let F be a finitely generated field of characteristic zero and Γ<GL_n(F) a finitely generated subgroup. For an element g in Γ, let Gal(F(g)/ F) be the Galois group of the splitting…