Generic polynomials over Q with two parameters for the transitive groups of degree five

Ki Ichiro Hashimoto; Hiroshi Tsunogai

doi:10.3792/pjaa.79.142

Generic polynomials over Q with two parameters for the transitive groups of degree five

Ki Ichiro Hashimoto^*, Hiroshi Tsunogai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this article, we construct generic polynomials over Q with two parameters for all transitive subgroups of the symmetric group of degree 5 by considering the action on the moduli space of the projective line with ordered five marked points. Although polynomials having such properties are already known, our device is unifying through all the cases, and in some cases we obtain polynomials with much simpler coefficients.

Original language	English
Pages (from-to)	142-145
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	79
Issue number	9
DOIs	https://doi.org/10.3792/pjaa.79.142
Publication status	Published - 2003 Nov
Externally published	Yes

Keywords

Constructive Galois theory
Generic polynomials

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3792/pjaa.79.142

Cite this

@article{d34fdc53d0664b17a69d0a844eaa4ce1,

title = "Generic polynomials over Q with two parameters for the transitive groups of degree five",

abstract = "In this article, we construct generic polynomials over Q with two parameters for all transitive subgroups of the symmetric group of degree 5 by considering the action on the moduli space of the projective line with ordered five marked points. Although polynomials having such properties are already known, our device is unifying through all the cases, and in some cases we obtain polynomials with much simpler coefficients.",

keywords = "Constructive Galois theory, Generic polynomials",

author = "Hashimoto, {Ki Ichiro} and Hiroshi Tsunogai",

year = "2003",

month = nov,

doi = "10.3792/pjaa.79.142",

language = "English",

volume = "79",

pages = "142--145",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "9",

}

TY - JOUR

T1 - Generic polynomials over Q with two parameters for the transitive groups of degree five

AU - Hashimoto, Ki Ichiro

AU - Tsunogai, Hiroshi

PY - 2003/11

Y1 - 2003/11

N2 - In this article, we construct generic polynomials over Q with two parameters for all transitive subgroups of the symmetric group of degree 5 by considering the action on the moduli space of the projective line with ordered five marked points. Although polynomials having such properties are already known, our device is unifying through all the cases, and in some cases we obtain polynomials with much simpler coefficients.

AB - In this article, we construct generic polynomials over Q with two parameters for all transitive subgroups of the symmetric group of degree 5 by considering the action on the moduli space of the projective line with ordered five marked points. Although polynomials having such properties are already known, our device is unifying through all the cases, and in some cases we obtain polynomials with much simpler coefficients.

KW - Constructive Galois theory

KW - Generic polynomials

UR - http://www.scopus.com/inward/record.url?scp=1042279140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1042279140&partnerID=8YFLogxK

U2 - 10.3792/pjaa.79.142

DO - 10.3792/pjaa.79.142

M3 - Article

AN - SCOPUS:1042279140

SN - 0386-2194

VL - 79

SP - 142

EP - 145

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 9

ER -

Generic polynomials over Q with two parameters for the transitive groups of degree five

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this