Just wanted to inform that. Though this thread has not received any input 
but we do have a gitter channel for "group_theory_implementation" 
https://gitter.im/gxyd/group_theory_implementation that i made in last year 
October, currently @asmeurer, @jksuom, @hargup and me are there in the 
channel . It is a private channel and currently has many messages shared 
regarding their implementation.

Why is it private? 
Unfortunately initially i did not knew that i could not make that channel 
public and now it has a large number of chat logs so no easy to leave all 
that there.

So please feel free to ping me on sympy gitter main channel 
https://gitter.im/sympy/sympy or you can "PM me" or "mail me"  or "comment 
here" i will add you in the channel.
You suggestions can be very helpful.

Gaurav



On Saturday, February 6, 2016 at 6:55:41 PM UTC+5:30, Gaurav Dhingra wrote:
>
> Hi, I'm 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 saw there is some 
> questions on ideas page I want to discuss the
> Group Theory idea given on the Idea's page.
> https://github.com/sympy/sympy/wiki/GSoC-2015-Ideas#group-theory
>
> 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 a `Group` class from which
> all the `groups` could be derived, though this class in itself will be of 
> very little use, 
>
> since Prof. Kalevi said:
>
> > I think that may be too general for practical purposes. Besides, many 
> groups are infinite and the corresponding sets are not easily described.
>
> In particular i am sure that i will start working with the implementation 
> of `FreeGroup` and `Finitely Presented Groups` (only sure that this can be 
> done, 
> but how to do this is still to be worked upon in detail), this itself will 
> take quite sometime, but can something more be done?
>
> I feel quite positive that we should be following the `GAP` (
> gap-system.org) for what algorithms be used. 
>
> --
> Gaurav
>

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