> < ^ Date: Tue, 28 Mar 2000 15:53:44 +0100 (GMT Daylight Time)
> < ^ From: Jeremy Rickard <j.rickard@bristol.ac.uk >
> ^ Subject: ConnectGroupAndCharacterTable

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?


(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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