Answer by Uri Bader for Can every finitely generated field extension of...
As YCor indicates, the question in the title is different from the one in the body. Are we assuming the prime $p$ is fixed or not?In both cases the answer is "Yes", but if $p$ is not fixed, there are...
View ArticleAnswer by YCor for Can every finitely generated field extension of...
Lemma 4.1 in: Jacques Tits, Free subgroups in linear groups, J. of Algebra, 20, (1972). DOI linkLet $k$ be a finitely generated field and let $t\in k^*$ be an element of infinite order. Then, there...
View ArticleCan every finitely generated field extension of $\mathbb{Q}$ be embedded into...
Let $K$ be a finitely generated field extension of $\mathbb{Q}$, and let $p$ be a prime number. Can $K$ must be embedded into a p-adic local field (i.e. a finite field extension of $\mathbb{Q}_p$) ?
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