Sylow-conjugate number fields

Alexander Lubotzky; Danny Neftin

doi:https://doi.org/10.1007/s11856-023-2539-z

Sylow-conjugate number fields

Alexander Lubotzky, Danny Neftin

Weizmann Institute of Science, Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	465-480
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	257
Issue number	2
DOIs	https://doi.org/10.1007/s11856-023-2539-z
State	Published - Nov 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1007/s11856-023-2539-z

al_IsraelJMath_SylowConjugateNumber_AM_2023Accepted author manuscript, 454 KB

https://arxiv.org/abs/2201.04103License: CC BY

Cite this

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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.",

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Sylow-conjugate number fields

Abstract

All Science Journal Classification (ASJC) codes

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