TY - JOUR
AU - Novita Dahoklory
AU - Henry W. M. Patty
PY - 2023/04/03
Y2 - 2024/10/16
TI - Galois Group Correspondence On Extension Fields Over Q
JF - Pattimura Proceeding: Conference of Science and Technology
JA - puc
VL - 4
IS - 1
SE - Articles
DO -
UR - https://ojs3.unpatti.ac.id/index.php/pcst/article/view/8599
AB - Let be an extension field where denotes dimension of as a vector space over . Let be the group of all automorphism of that fixes where the order of is denoted by . Particularly, an extension field is called a Galois extension if . Moreover, we will give some properties of an extension field which is a Galois extension. Using the properties of Galois extension, we will show that there is an one-one correspondence between the set of all intermediate fields in and the set of all subgroups in . Furthermore, we will give some examples of Galois group correspondence using an extension field over .
ER -