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Martin WidmerSmall generators of function fieldsJournal de théorie des nombres de Bordeaux,
22 no.
3 (
2010), p. 747-753, doi:
10.5802/jtnb.744
Article
PDF | Reviews
MR 2769343
Let $\mathbb{K}/k$ be a finite extension of a global field. Such an extension can be generated over $k$ by a single element. The aim of this article is to prove the existence of a ”small” generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.
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