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| Title Details: | |
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The General Polynomial and the Inverse Problem |
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| Authors: |
Theochari Apostolidi, Theodora Charalampous, Chara |
| Reviewer: |
Kontogeorgis, Aristeidis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > FIELD EXTENSIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > REAL AND COMPLEX FIELDS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > GENERAL FIELD THEORY |
| Description: | |
| Abstract: |
In this chapter we prove that there exists an extension of fields whose Galois group is the symmetric group. To this end, we consider symmetric polynomials. Finally, we refer to the inverse problem of the Galois theory.
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| Linguistic Editors: |
Theochari Apostolidi, Theodora |
| Technical Editors: |
Karydis, Ioannis Charalampous, Chara |
| Graphic Editors: |
Charalampous, Chara |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
| Handle | http://hdl.handle.net/11419/738 |
| Bibliographic Reference: | Theochari Apostolidi, T., & Charalampous, C. (2015). The General Polynomial and the Inverse Problem [Chapter]. In Theochari Apostolidi, T., & Charalampous, C. 2015. Galois Theory [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/738 |
| Language: |
Greek |
| Is Part of: |
Galois Theory |
| Version: |
v.1.2 |
| Publication Origin: |
Kallipos, Open Academic Editions |