ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS-Reference-Cited by-同舟云学术

ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS

Published:2010-08 Issue:05 Volume:06 Page:1047-1081
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

HOSHI AKINARI¹,MIYAKE KATSUYA²

Affiliation:

1. Department of Mathematics, Faculty of Science, Rikkyo University, 3-34-1 Nishi Ikebukuro Toshima-ku, Tokyo 171-8501, Japan

2. Department of Mathematics, School of Fundamental Science and Engineering, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169-8555, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211000337X

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