On the field intersection problem of solvable quintic generic polynomials

Details On the field intersection problem of solvable quintic generic polynomials On the field intersection problem of solvable quintic generic polynomials

2008-04-30

arxiv.org/abs/0804.4875v2

Mathematics

Number Theory

27 pages, 4 tables, to appear in Int. J. Number Theory

Scientific paper

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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