Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

Chandrasheel Bhagwat; Shubham Jaiswal

Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

Group Theory 2025-11-27 v2 Number Theory Representation Theory

Authors: Chandrasheel Bhagwat , Shubham Jaiswal

Abstract

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.

Keywords

Galois groups right splitting Galois correspondence Galois representations inverse Galois problem exact sequences

Cite

@article{arxiv.2403.14316,
  title  = {Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem},
  author = {Chandrasheel Bhagwat and Shubham Jaiswal},
  journal= {arXiv preprint arXiv:2403.14316},
  year   = {2025}
}

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This is the final version of this paper

Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

Abstract

Keywords

Cite

Comments

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