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Suppose I have a finite simple group G and want to work with its

Brauer characters. Then I can just use the Brauer character tables in

GAP4's libraries.

Suppose I then want to construct subgroups of G and work with

induced/restricted characters and so on. Then I can get a group

(isomorphic to) G from the libraries with which I can do as I will,

but to use the library character tables I have to use the function

ConnectGroupAndCharacterTable to associate columns of the character

table with conjugacy classes of G in the proper way.

First question: Is this a sensible way to do this, or am I missing

something easier?

Occasionally, ConnectGroupAndCharacterTable will fail. For example, if

G=J2, then up to automorphisms of the character table there are two

ways of associating columns with conjugacy classes that the function

can't decide between.

Second question: If I know which way is correct, is there some way to

tell GAP to use that way to connect the group and character table?

Thanks,

Jeremy

(GAP Novice)

--

Jeremy Rickard

Tel: +44 (0)117 928 7989

Email: j.rickard@bristol.ac.uk

WWW: http://www.maths.bris.ac.uk/~pure/staff/majcr/

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