Hi, I'm Harish a Sophomore CSE student, I came across your project related 
to group theory and I must say that I am extremely interested in 
contributing to this project. I possess a strong knowledge of group theory 
and am confident in my ability to make valuable contributions to the 
project.

As per the project requirements, I have worked on implementing the 
algorithms you listed, including the computation of various subgroups of 
infinite finitely presented groups, computation of Galois groups for a 
given polynomial, finding kernels of homomorphisms with infinite domains, 
extending functionalities of polycyclic groups, quotient groups, and 
automorphism groups. I utilized Python libraries such as SymPy and NumPy to 
implement these algorithms and rigorously tested them using various test 
cases. The outputs obtained were satisfactory, and I am confident in my 
ability to effectively contribute to this project.

I see that the current version of sympy has implemented most of the 
aforementioned topics, So I would like to discuss about the most important 
areas to develop or new features to add.


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