KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH

IRAWANTO, BAMBANG (2001) KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH. Undergraduate thesis, FMIPA Universitas Diponegoro.

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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  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  I } of K if F smallest subfield containing K and all the zeros in of 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  1 an integer if only if F is Splitting field of - x over Zp.

Item Type:Thesis (Undergraduate)
Uncontrolled Keywords:extention fields, splitting fields, finite fields
Subjects:Q Science > QA Mathematics
Divisions:Faculty of Science and Mathematics > Department of Mathematics
ID Code:2050
Deposited By:Mr. Matematika Admin
Deposited On:02 Dec 2009 12:13
Last Modified:23 Dec 2009 15:06

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