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arXiv · 0804.4875

On the field intersection problem of solvable quintic generic polynomials

Akinari Hoshi·Katsuya Miyake
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Abstract

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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Akinari Hoshi, Katsuya Miyake. 2009-06-23. On the field intersection problem of solvable quintic generic polynomials. https://arxiv.org/abs/0804.4875

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