[GAP Forum] Source code of GAP

[fatemeh moftakhar]

Dear Professors Stefan Kohl, Chiristopher Jefferson and Thomas Breuer

Thank you very much for your useful comments.
Have a nice week ahead.

Bset regards
Fatemeh Moftakhar

On Sun, Apr 17, 2016 at 5:04 PM, Thomas Breuer <sam at math.rwth-aachen.de>
wrote:

> Dear GAP Forum,
>
> probably the question is about the GAP functions that compute
> the irreducible characters of a given group,
> not about the function 'CharacterTable'.
>
> If yes then one should look for the methods for the function 'Irr',
> for example using 'ApplicableMethod'.
>
> Concerning the question about calculations with primitive roots
> of unity, I would suggest to look at the chapters ``Cyclotomics''
> and ``Abelian Number Fields'' of the GAP Reference Manual.
> Also the paper cited as [Bre97] in this manual might be of interest.
>
> All the best,
> Thomas
>
>
> On Sat, Apr 16, 2016 at 04:03:19PM +0430, fatemeh moftakhar wrote:
> > Dear Forum
> >
> > The command "Print(ff)" in GAP gives the code of the "ff" written in GAP.
> > See for example the following command in GAP:
> > gap> Print(Combinations);
> > function ( arg )
> >     local  combs, mset;
> >     if Length( arg ) = 1  then
> >         mset := ShallowCopy( arg[1] );
> >         Sort( mset );
> >         combs := CombinationsA( mset, 1, Length( mset ), [  ], 1 );
> >     elif Length( arg ) = 2  then
> >         mset := ShallowCopy( arg[1] );
> >         Sort( mset );
> >         combs := CombinationsK( mset, 1, Length( mset ), arg[2], [  ], 1
> );
> >     else
> >         Error( "usage: Combinations( <mset> [, <k>] )" );
> >     fi;
> >     return combs;
> > end
> >
> > If I run the command "Print(CharacterTable)", then we can see the
> following
> > GAP message:
> >
> > gap> Print(CharacterTable);
> > <Operation "CharacterTable">
> >
> > Is it possible to find the GAP code for CharacterTable?
> >
> > If no, is it possible to find the source of the program for calculating
> > with primitive roots of unity in GAP?
> >
> > finally where is the library of primitive roots of unity? For example I
> > need to source program of GAP for computing E(8)-E(8)^3?
> >
> > Best regards
> > Fatemeh Moftakhar
>
>


-- 
Regards;
Miss Fatemeh Moftakhar
PhD Candidate,
Department of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan, Iran