Hello, 

I have several ideas in computational group theory that seem doable. I am 
wondering if these have been considered before and if they are in the scope 
of GSoC for Sympy. I have worked with GAP and in particular used it to 
compute cohomology groups and character tables. In general the goal could 
be to implement several algorithms in the chapter of Holt's book on 
representation theory, and cohomology groups(chapter 7). Following are some 
ideas:

1. Computing first and second cohomology  groups of finitely presented 
groups over a finite field or the integers
2. Compute character tables of finite groups 
(using Burnside-Dixon-Schneider algorithm)
3. Test irreducibility of given representation (using Meataxe algorithm)
4. Adding classes on finite groups based on the ATLAS database of finite 
groups (http://brauer.maths.qmul.ac.uk/Atlas/v3/)

Since any of these ideas don't appear on the GSoC ideas page, please could 
you give me some feedback if they would be of general interest and can be 
considered as part of a GSoC project. 

Best, 
Aniket

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