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
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
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?
Tel: +44 (0)117 928 7989