Hey Aleksandra

There was a 
proposal<https://github.com/sympy/sympy/wiki/GSoC-2013-Application-Tarang-Patel%3A-Group-Theory>for
 greater Group Theory support last year, however it wasn't selected.
Hope you can get some ideas from there.

I too am interested in Group Theory, in fact am doing a course on Abstract 
Algebra this semester, and am excited about the prospect of a data 
structure for representing groups. I hope that a Group Theory related 
project is selected this year.

Regards
Shubhorup Biswas
2nd year CS undergrad

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