[GAP Forum] Normalizing of Irr(G)

[fatemeh moftakhar]

Dear Thomas

Thank you very much for your helpful comments.

Best regards
Fatemeh

On Mon, Dec 14, 2015 at 4:53 PM, Thomas Breuer <sam at math.rwth-aachen.de>
wrote:

> Dear Forum,
>
> Fatemeh Koorepazan-Moftakhar asked
>
> > Suppose G is a group. Then we know Irr(G) is the set of all irreducible
> > characters of G. In some example the principal character is not the first
> > element of this list. Is there any command in GAP to normalize Irr(G)? By
> > normalizing of Irr(G), I mean a reordering of Irr(G) in which the first
> > element is principal character.
>
> Called with a character table 't', say, of a finite group,
> the function 'CharacterTableWithSortedCharacters'
> returns a character table 's' which differs from 't'
> only by the ordering of the irreducible characters.
> The trivial character is guaranteed to be the first one
> in the 'Irr' list of 's'.
>
> If one starts from a group object 'G' then
> 'Irr( CharacterTableWithSortedCharacters( CharacterTable( G ) ) )'
> is a list of the irreducible characters of 'G' with the property that
> the trivial character is stored in the first position.
>
> Note that the ordering of 'Irr( G )' is not affected by the
> above commands.
>
> See the entry about 'CharacterTableWithSortedCharacters'
> in the GAP Reference Manual for more details.
>
> All the best,
> Thomas
>
>


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