### 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 |

Publication status | Published - 2003 Nov |

### Fingerprint

### Keywords

- Constructive Galois theory
- Generic polynomials

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Japan Academy Series A: Mathematical Sciences*,

*79*(9), 142-145.

**Generic polynomials over Q with two parameters for the transitive groups of degree five.** / Hashimoto, Kiichiro; Tsunogai, Hiroshi.

Research output: Contribution to journal › Article

*Proceedings of the Japan Academy Series A: Mathematical Sciences*, vol. 79, no. 9, pp. 142-145.

}

TY - JOUR

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

AU - Hashimoto, Kiichiro

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

M3 - Article

AN - SCOPUS:1042279140

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

SN - 0386-2194

IS - 9

ER -