[GAP Forum] Re: Forum Digest, Vol 68, Issue 1

[Siddhartha Sarkar]

Dear Azhvan,
In principle this must be easy if you have enough information about which
kind of generators and characters involved. The following calls give you the
ordered table for PSL(2,7) say :

gap>c:= CharacterTable("L2(7)");
gap>Display(c);

These tables are already made and stored in gap for all the sporadic groups
(even for the monster!!)

The order of conjugacy classes are made of first according to the order and
when orders are the same, then according to the cycle types of the elements
(w.r.t. the permutation representation).

Characters are easily understood since the first column give their degrees.

Hope this helps,
Siddhartha






>
> Message: 7
> Date: Sat, 4 Jul 2009 12:45:17 -0600
> From: azhvan sanna <azhvan at hotmail.com>
> Subject: [GAP Forum] How to find the value of character over
>        generators
> To: <forum at gap-system.org>
> Message-ID: <COL116-W20D2F5C5DBCE3B9F68CE31C52D0 at phx.gbl>
> Content-Type: text/plain; charset="iso-8859-1"
>
>
> Dear friends,
>
> I have to use the character table of sporadic simple groups, and evaluate
> the value of characters on some specific generators, I appreciate if
> somebody tell me; is this possible? I have got the idea that as we do not
> know about the Conjugacy classes ordering and the nature of them used for
> making characters table, so characters table can be used when we do some
> calculation regardless of element involve in evaluating, so computing for
> example the value of one character in some element seems not possible.
> thanks
>
> Azhvan
>
>