Hi,
I would like to discuss the idea for GSOC project: Implementation of the 
Group Theory as a module in Sympy. I think that Sympy needs a proper module 
to handle Group theory on a generic scale and I believe that I can deliver 
that. I chose this topic because I have studied Group theory twice as a 
part of my college studies and my basics are pretty strong. So, I think 
that I can complete the project should I be selected with the given time.

I am not very familiar with Sympy so far, but I can assure you that I am a 
very fast learner and I will study the Sympy code structure first and with 
the help of the excellent documentation already in place, begin my work on 
the module respecting all the conventions laid down by the Sympy 
development team.

My plan of action would be to first develop a theory as to how to represent 
the groups in language aspects and define the various parameters and fields 
that makes the manipulation of the groups easier and efficient. After that 
my focus would be on to implement the very common algorithms in Group 
Theory which is a necessity of a Group Theory module. I noticed that in the 
Ideas page, it has been mentioned to think of an algorithm that can 
calculate the Galois groups of any given polynomial, which I think I can 
implement because having done so in a step by step manner on paper.

@ProspectiveMentor: Please can you please reply to this post so that I can 
discuss my idea with you. Also you can provide some time slot so as to 
communicate on IRC.

Github profile : https://github.com/adityashah30/
IRC : adityashah30

Thanks,
Aditya Shah

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