Hi, I am Gaurav Dhingra i will hopefully be a GSoC applicant this year. I 
want to discuss the possibilities for what "should"
i do in regards to extend the Group Theory in SymPy.

I also made a wiki: 
https://github.com/sympy/sympy/wiki/GSoC-2016-Application-Gaurav-Dhingra:-Group-Theory
 
.
I think it will be really good if we could first discuss the things that 
can be done in order. Since implementation of certain
groups may require the implementation of others or certain `class`. Example 
we don't yet have 

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