In addition to what Aaron said in this pull request 
(https://github.com/sympy/sympy/pull/1810) about redesigning how some of 
the group theory code works, what other things are still waiting to be 
implement/are wanted to be added?

I personally think that most of the stuff about groups should be moved out 
of combinatorics and into its own file.  Additionally most stuff seems to 
be dedicated specifically to permutation groups, and not towards things 
more general.

In addition to thinking about a project on lie groups/algebras, I'm also 
quite interested in computational group theory, so if there was a lot of 
outstanding work to be done with this module, I'd love to do it as a gsoc 
project.

Mary

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