2022/01/11 by Alexander Lubotzky, Lubotzky, Alexander, Danny Neftin +1
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #History and Theory of Mathematics
paper · pdf · doi:10.48550/arxiv.2201.04103
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 of the Sylow subgroups of Gal(K), answering a question raised by Florian Pop.