Sylow-conjugate number fields
Number Theory
2022-01-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2201.04103,
title = {Sylow-conjugate number fields},
author = {Alexander Lubotzky and Danny Neftin},
journal= {arXiv preprint arXiv:2201.04103},
year = {2022}
}