Journal of the Ramanujan Mathematical Society
Volume 40, Issue 3, September 2025 pp. 229–244.
Right splitting, Galois correspondence, Galois
representations and inverse Galois problem
Authors:
Chandrasheel Bhagwat and Shubham Jaiswal
Author institution:Indian Institute of Science Education and Research,
Dr.~Homi Bhabha Road, Pashan, Pune~411~008, India.
Summary:
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.
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