Dear Thomas Thank you very much for your helpful comments.
Best regards Fatemeh On Mon, Dec 14, 2015 at 4:53 PM, Thomas Breuer <s...@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 _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
