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Given a charatcer table record, I'd like to calculate the size of the

subgroup generated by a list of classes. Is this possible in GAP?

Actually I am not sure if this is theoretically possible, so perhaps

I should ask if the character table record (and in particular the power

maps) contain enough information to do this. Thanks.Jacob Hirbawi <JcbHrb@CERF.net>

I'd guess that all the information needed is already in.

There is a function ClassMultCoeffCharTable(tbl,c1,c2,c3),

it returns the number of pairs (x,y) of elements of G

such that x\in c1, y\in c2, and xy is a fixed element

of c3.

So one can start with a given subset of classes and repeatedly

apply this function to find all the classes which get involved.

Then it remains to add up their sizes.

( Since it appears to be practically possible, it should also

be possible theoretically. :-) )

Regards,

Dima Pasechnik,

pasec@can.nl

dima@maths.uwa.edu.au

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