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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6437| Title: | Topics in Inverse Galois Problem |
| Authors: | PISOLKAR, SUPRIYA SHARMA, SIDDHANT Dept. of Mathematics 20161026 |
| Keywords: | Inverse Galois Problem Galois Theory Simple Groups Rigidity Sporadic Groups |
| Issue Date: | Dec-2021 |
| Citation: | 53 |
| Abstract: | The Inverse Galois Problem asks whether every finite group occurs as the Galois group of some field extension of the rational numbers, Q. This is still an unsolved problem. This project explores various methods to try to answer this question, most notable among which is the rigidity method. In this project, the required theory is presented to arrive at the Rigidity Criterion which is then applied to various finite simple groups, including the Mathieu groups, linear groups and the Monster group, to show their occurrence as Galois groups over Q. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6437 |
| Appears in Collections: | MS THESES |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Topic in Inverse Galois Problem-Siddhant Sharma.pdf | 570.04 kB | Adobe PDF | View/Open Request a copy |
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