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

2024/03/21 by Bhagwat, Chandrasheel, Jaiswal, Shubham · 1 citation
#11F80 #11R32 #12F12 #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2403.14316

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.

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