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  • Topics in Inverse Galois Problem 
    SHARMA, SIDDHANT (2021-12)
    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 ...
  • Topics in Homological Algebra 
    R, PAVITH (2022-12)
    Homological algebra is the study of homology in an algebraic setting. In this project we explore various standard tools of homological algebra such as Ext groups, Tor groups, Long exact sequence of cohomology etc, and the ...
  • Characterization of Uniform Pro-p Groups 
    ARAVINTAKSHAN, APPU PRAKASH (2023-05)
    Uniform pro-p groups have been studied extensively by Lazard in his seminal paper Groupes analytiques p-adiques (1965). Since then, many approaches have been developed to characterize various families of pro-p groups. The ...
  • Class field theory and local global principle 
    BHAT, PRASANNA (2025-05)
    We explore the main statements of class field theory from the perspective of local global principle. In the process, we explore various instances of the local global principle, which asks whether a property that holds in ...