Polat, Özgür
(2009)
*Ramification in some non-galois extension of function fields.*
[Thesis]

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## Abstract

Throughout this thesis, we denote by k an algebraically closed field of characteristic p > 0, and K /k is a function field over k. We consider extensions L = K(r); where r is a root of one of the following, f(x) = x^p + bx + d (1) f(x) = x^p + bx^(p-1)+ d (2) with b; d in K different from zero. For each polynomial listed above, we will describe ramification behavior of places P of K in the extension L=K, i.e. we will determine ramification index and different exponent of the places P' of L lying above P.

Item Type: | Thesis |
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Additional Information: | Yükseköğretim Kurulu Tez Merkezi Tez No: 418653. |

Uncontrolled Keywords: | Function fields. -- Galois group. -- Ramification index. -- Different exponent. |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |

Depositing User: | IC-Cataloging |

Date Deposited: | 24 May 2018 12:10 |

Last Modified: | 26 Apr 2022 10:24 |

URI: | https://research.sabanciuniv.edu/id/eprint/34848 |