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.