论文标题

sylow-conjugate数字字段

Sylow-conjugate number fields

论文作者

Lubotzky, Alexander, Neftin, Danny

论文摘要

根据Neukirch和Uchida的经典结果,一个数字K由其绝对Galois组GAL(K)的结构确定。我们表明,k不是由gal(K)的Sylow子组的结构确定的,回答了Florian Pop提出的一个问题。

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.

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