Sylow-conjugate number fields

Alexander Lubotzky, Danny Neftin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

By a classical result of Neukirch, Ikeda, Iwaswa 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.

Original languageEnglish
Pages (from-to)465-480
Number of pages16
JournalIsrael Journal of Mathematics
Volume257
Issue number2
DOIs
StatePublished - Nov 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023, The Hebrew University of Jerusalem.

Fingerprint

Dive into the research topics of 'Sylow-conjugate number fields'. Together they form a unique fingerprint.

Cite this