> < ^ Date: Thu, 29 Jan 1998 09:57:03 +0100 (CET)
> < ^ From: Joachim Neubueser <joachim.neubueser@math.rwth-aachen.de >
< ^ Subject: Re: Looking for a Subgroup

Dear Forum members,

Bruce Coletti asked:

Does GAP3.4.4 have a function to build the subgroup of S(n) that
fixes each point in a list? For example, the subgroup of S(7) that
fixes 2,5, and 6. At present, I'm intersecting the individual
stabilizers but there's probably an easier way.

The answer is yes: The following commands will do:

s7 := SymmetricGroup(7);                 see section 37.1 of manual
l := [2, 5, 6];                          see section 27.6 of manual  
s := Stabilizer(s7, l, OnTuples);        see section 21.23 of manual,
                                             second last paragraph.

Hope this helps Joachim Neubueser

PS: Questions like these perhaps should rather be  sent to the address
gap-trouble than  gap-forum. If the question  throws up a problem that
might be of broader interest and the  answer can not be found directly
in the manual, like   it was the case with   your last letter, we  can
still transfer its discussion to the Forum.

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