Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918218431463424 |
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| author | Bhagwat, Chandrasheel Jaiswal, Shubham |
| author_facet | Bhagwat, Chandrasheel Jaiswal, Shubham |
| contents | In this article, we realize some groups as Galois groups over rational numbers and finite extension of rational numbers by studying right splitting of some exact sequences, Galois correspondence and algebraic operations on Galois representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem Bhagwat, Chandrasheel Jaiswal, Shubham Group Theory Number Theory Representation Theory 11R32, 12F12, 11F80 In this article, we realize some groups as Galois groups over rational numbers and finite extension of rational numbers by studying right splitting of some exact sequences, Galois correspondence and algebraic operations on Galois representations. |
| title | Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem |
| topic | Group Theory Number Theory Representation Theory 11R32, 12F12, 11F80 |
| url | https://arxiv.org/abs/2403.14316 |