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All Journal Majalah Ilmiah Matematika dan Statistika (MIMS) Tensor: Pure and Applied Mathematics Journal MOVE: Journal of Community Service and Engagement MATHunesa: Jurnal Ilmiah Matematika Pattimura Proceeding : Conference of Science and Technology
Patty, Henry Willyam Michel
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Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Energy Engineering Materials Science & Nanotechnology Mathematics Physics

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Journal : Pattimura Proceeding : Conference of Science and Technology

 1 
Galois Group Correspondence On Extension Fields Over Q Novita Dahoklory; Henry W. M. Patty
Pattimura Proceeding 2023: Prosiding KNM XXI
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/PattimuraSci.2023.KNMXXI.17-28

Abstract

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 .
Co-Authors Abraham Zakharia Wattimena Citra Fathia Palembang Huwae, Elsa Jefri Esna Thomas Radjabaycolle Kambu, Loisa Genesis Lusye Bakarbessy Novita Dahoklory Rahakbauw, Dorteus L RUMLAWANG, FRANCIS YUNITO Talakua, Mozart Winston Yopi Andry Lesnussa Zeth Arthur Leleury, Zeth Arthur