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arxiv: 0804.4875 · v2 · submitted 2008-04-30 · 🧮 math.NT

On the field intersection problem of solvable quintic generic polynomials

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keywords fieldpolynomialsproblemgenericintersectionquinticsolvableanswer
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We study a general method of the field intersection problem of generic polynomials over an arbitrary field $k$ via formal Tschirnhausen transformation. In the case of solvable quintic, we give an explicit answer to the problem by using multi-resolvent polynomials.

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