IRAWANTO, BAMBANG (2001) *KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH.* JURNAL MATEMATIKA DAN KOMPUTER . ISSN 1510-8518

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## Abstract

In this paper, it was learned of the necessary and sufficient condition for finite field with pn elements, p prime and n ³ 1 an integer. A field F is an extention field of a field K if K subfield F. The extension field F of field K is Splitting field of collection polinomial { fi (x) | i Î I } of K if F smallest subfield Kcontaining K and all the zeros in Kof the polinomial fi(x). The zeros of polinomial fi(x) are elements of field F and the elements of F is finite then F is finite field (Galois fileld). F is finite with pn elements, p prime and n ³ 1 an integer if only if F is Splitting field of xpn - x over Zp.

Item Type: | Article |
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Uncontrolled Keywords: | extention fields, splitting fields, finite fields. |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science and Mathematics > Department of Mathematics |

ID Code: | 2617 |

Deposited By: | Admin Departemen Matematika |

Deposited On: | 14 Dec 2009 12:13 |

Last Modified: | 14 Dec 2009 12:13 |

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