KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH
| Main Author: | IRAWANTO, BAMBANG |
|---|---|
| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
JURUSAN MATEMATIKA FMIPA
, 2001
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| Subjects: | |
| Online Access: |
http://eprints.undip.ac.id/2617/1/5._Bambang_Irawanto.pdf http://eprints.undip.ac.id/2617/ |
Daftar Isi:
- 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.